Free ebook tinyurl.com/Eng... Easy way of remembering how to solve ANY differential equation of first order in calculus courses. The secret involves the "SHIELDS" acronym!
If you could just make videos solving any Newtonian and Electronics and Optics Physics, Linear algebra, and struggling marriage problems next that’d be great
@@anaya2464 in our schools there is just a preliminary introduction which is pretty much useless if you take everything into account. Countries like us, aus don't have curriculum like that. For your question yeah it's university stuff.
The annihilator approach is a method taught in first year university, but is not usual, since it used to tackle higher order DEs. Almost all first order equations are tackled using the methods that you described. Nice work!
This brings back some serious memories! I was studying mathematical engineering physics, and loving it. Never heard this acronym but it makes some excellent sense.
I think you may, Dr. Tisdell, want to change the Title a little bit to be more clear and less vague! However, it is really helpful what you did; for memorizing the techniques for solving the DE. Thank you so much for your helpful hint!
Given any function G(x,y,y') smooth in each of its 3 arguments, so that at least differentiation will always make sense, just differentiate infinitely many times to generate the Taylor series. i.e. given G(x,y,y')=0, then one differentiation yields: Gx(x,y,y') + Gy(x,y,y')*y' + Gy'(x,y,y')*y"=0 so y" = -( Gx(x,y,y') + Gy(x,y,y')*y')/Gy'(x,y,y') which we'll call H(x,y,y'). So y"=H(x,y,y'). Then repeat arbitrarily many times as needed recursively to get D^n y in terms of x, y, y'. Set x = your favorite center of convergence,c, and you generate the Taylor series y(x)= sum of D^n y /n! at x=c *(x-c)^n There. That's how you solve "any" first order ODE.
I'm in the UK studying A level maths and physics, the equivalent to the final year of high school. We have to solve first and second order differential equations in these subjects.
@@VivekYadav-ds8ozI know it's three years, busy I just want to say I'm amazed at how early you guys learn stuff in Britain, I didn't even get to take any calculus at all in high school
Great video but perhaps it wouldn't hurt learning two more additional methods namely Riccati and Clairaut for non linear and where the derivatives are taken to a power. Also Sir, please make a playlist for Complex Analysis. Much love and prayers from India.
Thats a nicccceee trick you have given to us like "SHIELDS" very interesting and trick. Hope this is your own invention.. May God blesa you in here and hereafter... Thank you verry mucch.
More popular maybe, but he only goes so far, for pure math I find your stuff really useful. I feel like Sal only has so many cylinders to fire on to make videos and it is nice to be able to find another fantastic source. PS Over 1 million channel views about math isn't too shabby.
AWESOME!!, thanks for that quick understand of 1st order linear equations, Elías from UAM-Physics (Madrid,Spain) P.D.: Mathematics are necessary to understand physics.Therefore, you have done a great service to this student.
There are no clear answers. A lot of the methods in ordinary differential equations will work to solve higher order ones. Auxiliary equations, method of undetermined coefficients, variation of parameters, Laplace transforms, and power series solutions are all basic ideas for linear differential equations of any order. Cauchy Euler forms work in a lot of cases too. As long as you have a linear differential equation, it is probably solvable. Nonlinear equations are basically impossible from what I've seen. Numerical approximations for higher order equations are theoretically possible through the use of substitutions, but I'm not aware if that causes any changes to the degree of accuracy for the solution.
I would also like to reiterate that series solutions would theoretically work no matter what order and linearity of the differential equation. But the algebra gets extremely tedious and a general solution is basically impossible for most equations. If your intentions are initial value problems, then this will suffice. A "general solution" is practically useless if you get to the point where you're forced to solve any arbitrary order 3+ equations for any reason.
Andrew Chang Thanks for your answer. I've pretty much been introduced to differential equations and how to set them up from context (A Level Maths). We've pretty much been taught one method, separation of variables and using auxiliary equations + particular integrals.
+AlchemistOfNirnroot "In context" is the key. Separation and auxiliary are both used extensively in 2-D physics (kinematics, forces) and analysis of time-changing phenomena (radioactivity, population growth, temperature change, basically anything that changes at a predictable rate) I think I've done enough notification filling. Best wishes for success in your studies, I hope you find math as interesting and useful as I do.
I have tried and tried and tried to understand differential equations..... I've always wanted to do a degree in astrophysics... But the thing that really scares me is the maths! Any advice would be much appreciated. I just can't see how the answers don't have numbers... I can't get my head around that.
"I just can't see how the answers don't have numbers?" Have you tried algebra first? What is a variable? then progressing to calculus with simple examples like: Graph a car change in position over time, then understanding that "Jerk" is the fist derivative of "Acceleration"(and third derivative of Position), "Acceleration" is the first derivative of "Velocity"(and second derivative of Position), "Velocity" is the first derivative of "Position" of the car. Jerk derives/is the rate of change of Acceleration that derives/is the rate of change of Velocity that derives/is the rate of change of Position of the car. Sorry if I misunderstood. Hope it helps, cheers!
no its not, picards method is not constructive. you can only prove a solution exists and that its unique under certain circumstances, but using picard you cant give a concrete solution.
That's not true, under certain conditions, you can use Picard's method to integrate out into a series representation of a function. True, it's often not the easiest of most efficient, but it's perfectly possible to solve a differential equation using it.
thats not true, picards method uses the axion of choice and therefore is not constructive. it showed that there >is< a solution and that it is >unique< under certain circumstances, but you cannot actually construct it, not even in theory.
+Norris Mangua Make sure that you master Arithmetic and Algebra. Those courses are the fundamentals for absolutely everything else that you will encounter in later math courses. Also, check out Khan Academy, that site has a very good Math section that covers different math topics in a good order, and the founder Salman Khan is cool - he records almost all the math videos on that site.
In general you cover a lot of differential equation techniques not covered by the Khan Academy, I think it would be great if you two could somehow team up for this stuff.
Omg!!! Thank you so much DR Chris, thanks to this technique I managed to get my engineering degree and buy my mum a house! Send me your bank account for a 10000$ bank transfer.
Wait wait wait bro, This “doctor” did not think about Bernoulli equations, please take some time to think about were hour money goes, I have to feed 8 kids
Any videos regarding Laplace's equations inside a 90degrees sector of a circular annulus? I have a problem when the boundary conditions are all zero except for r(r, pi()/2)=f(r) ....
How to solve first order ordinary differential equations 1. Separable equation We perform operations like addition and multipication to get expression in y on the one side of equation and expression in x on the other side of equation then we integrate both sides 2. Linear equation We use fact that LHS of the equation looks similar to the product rule for derivatives 3. Exact equation From Schwarz theorem about mixed derivatives we get dF/dxdy = dF / dydx on some conditions We have equation P(x,y)dx+Q(x,y)dy=0 and from Schwarz theorem we get condition which we need to check dP/dy=dQ/dx Now we have following system of equations to solve dF/dx=P(x,y) dF/dy=Q(x,y) and we usually have got implicit solution F(x,y)=C How to solve this system ? I choose one of the equation and integrate it and role of integrating constant plays function depending on other variable Then I differentiate function F with respect of the other variable then I integrated F and compare with functon Q(x,y) if I differentiate with respect y or compare with functon P(x,y) if I differentiate with respect x Equation which can be reduced to separable equation by substitution Homogeneous diferential equation One case of Riccati equation Equations which can be reduced to linear by substitution Bernoulli equation Riccati equation with given particular solution Equation which can be reduced to linear by introducing parameter Lagrange equation Non exact equations can be reduced to exact using integrating factor Generally we need to solve partial differential equation to find integrating factor which is a difficult task We can easily find integrating factor in the few cases fe integrating factor depends only on one variable
that is not all methods to solve differential equations , there is just methods to solve first order equations .... change your video title , the method which solve any differential equation is by laplace transform for both sides of equation .... and you don't remind in this video about euler method to solve any first order differential equation approximately by slope of the function and initial value problem .... Generally , thank you for video
Hi - if you listen at 00:04 then you'll see that I say "any first order differential equation seen in first year university mathematics". I also have many videos on Laplace transforms, in fact, I have a whole playlist devoted to them. Best wishes.
Dr Chris Tisdell I appreciate your videos , but the topic of this video inveigled me ... thanks for your scientific videos ..... knowledge is power , and your videos support this meaning , thank you Dr.chris
abdalrahman mahdly Hey random physicist who's interested in math, I take it your doing a degree/finished? If so can I ask you if all the people in your class are perpetually illogical morons who hold their heads high because they have no life and 'work' constantly (even though they waste there own time... and others, talking about stupid ideas that do not work) and namely because of a large grasp on vocab. Seriously, the people in my class didn't even know how much a reflected beam rotated after rotating the mirror.... I mean wtf? 2 THETA!!! That was second year and 95% of the class had no idea, not joking I wish someone would shut my uni down down for raising these pure miscreants
IEatPeople4Breakfast my university is the same , there is many stupids in the world ... however , only you specify with which team you will deal , other thing i want to clarify to you " physics need math " i mean if you study physics you have to use everything you know in math , so you have to improve your knowledge in math, in other words physics is just applying math to study the universe , whatsoever math is amazing alone if you understand it you will feel a very wonderful sense , any way , if you choose knowledge way and stay away from those stupid guys , I think the best way to learn is without the university … the best way is learning by online lectures , and there is many international uni & inst uploads video lectures for free … for example MIT at (ocw.mit .edu) and "yale" you can just search for it on youtube . there is another guy how's upload videos in math on youtube ( patrickjmt ) , other math lectures you can watch on ( www.centerofmath.com ) , other education lectures on (www.learnerstv.com) you can find any lectures you like even in biology ! , also you can search on youtube for khan academy , and actually this channel which we commenting on it is helpful … there is more lectures for free now, we have the internet , guy….. if you don't understand anything just ask doctors , any one of them knows many proofs in his subject even if he don't teach these proofs for students. that is everything … take care
God speed to you for knowing what is right! FYI Book pdf's are pretty easy to come by these days. I prefer books to online lectures any day and I highly recommend grabbing a tablet and sticking a load of books on that you want to learn. Cheers for them links btw! I actually hadn't heard of the last 2
linear, that means the function y literally has a linear graph to it. which means, f (x) should never equal a power of y of which is greater than one. same concept for pde.
sine, cosine, and tangent all have graphs of which are nonlinear. Any equation including any of these terms are said to be nonlinear. I would apply it to the other transcendental functions as well. However, the possibility of my being wrong is always present. I am no expert!
mate you need to learn how to solve the resolution of camera quality, especially yours you are running at, which the fps is like maybe 5 to 10, i'm trying to learn math, not fps math
"what do you think the L stands for" lmao the grade I''m about to receive on my test
same
I see Momo I like
hi Momo
Be honest. Once you graduate college you never use this again.
@@benkleschinsky you must not be an engineer
If you could just make videos solving any Newtonian and Electronics and Optics Physics, Linear algebra, and struggling marriage problems next that’d be great
idk about marriage problems chief
🤣🤣
Does this mean the apple came into the tree life before she left her seed?
The SHIELDS acronym seems to fit well with the students and ODEs in first year university. It was my favourite memory trick when I was a student.
is it really university stuff though? we studied second degree differentials in 11th grade.
@@anaya2464 in our schools there is just a preliminary introduction which is pretty much useless if you take everything into account. Countries like us, aus don't have curriculum like that. For your question yeah it's university stuff.
The annihilator approach is a method taught in first year university, but is not usual, since it used to tackle higher order DEs. Almost all first order equations are tackled using the methods that you described. Nice work!
This brings back some serious memories!
I was studying mathematical engineering physics, and loving it. Never heard this acronym but it makes some excellent sense.
good video, but you must write "how to solve ANY FIRST ORDER differential equation".
before solving the D.E first u able to know this is what type of D.E .when u know the type of D.E .then u solve by apply the corresponding method...
Any first order ORDINARY differential equation
he says it in the first sentences
@@runningtrack307 Revealing the click bait intent
@@runningtrack307 You mean after you've clicked the video and wasted your time?
Wow. Just like that, it doesn't feel nearly as overwhelming anymore. Might actually do well on my first test tomorrow. Thanks!
endAuthority Nope. =(
But I still appreciate this video.
story of my life
I don't know what it is i just find differential equations as something more complex than they really are.
I can't get my head around them
+VT Gaming I retook it and got a B. You can do it!
Scarecrow545 I'm in uni though, i'm an idiot lol.. I can derive most things, it's actually creating and manipulating them that i find troubling.
Thx for the videos Chris. Im having a final exam on ODEs and vectorial calculus next week ! This videos are extremelly useful !
Ok bro all the best from 2023
I think you may, Dr. Tisdell, want to change the Title a little bit to be more clear and less vague!
However, it is really helpful what you did; for memorizing the techniques for solving the DE.
Thank you so much for your helpful hint!
Given any function G(x,y,y') smooth in each of its 3 arguments, so that at least differentiation will always make sense,
just differentiate infinitely many times to generate the Taylor series.
i.e. given G(x,y,y')=0, then one differentiation yields: Gx(x,y,y') + Gy(x,y,y')*y' + Gy'(x,y,y')*y"=0
so y" = -( Gx(x,y,y') + Gy(x,y,y')*y')/Gy'(x,y,y') which we'll call H(x,y,y'). So y"=H(x,y,y').
Then repeat arbitrarily many times as needed recursively to get D^n y in terms of x, y, y'.
Set x = your favorite center of convergence,c, and you generate the Taylor series
y(x)= sum of D^n y /n! at x=c *(x-c)^n
There. That's how you solve "any" first order ODE.
Many thanks for the great feedback.
which mathematics subjects do i need to know in order to understand and solve differential equations in university?
Ricatti ... is exact if: s'+s^2+sP=-Q=(1/2)P'+(1/4)P^2 ... and using integrating factor: -Q=(1/2)P'+(1/4)P^2+g'+g^2
... but beyond that you need more.
I'm in the UK studying A level maths and physics, the equivalent to the final year of high school. We have to solve first and second order differential equations in these subjects.
+TheLlamaFarmer3 bravo
nerd
@@Dan-bg5fm I know it's 3 years, but c'mon, saying nerd on a math video is like shouting "JOCK!" in a football stadium.
@@VivekYadav-ds8ozI know it's three years, busy I just want to say I'm amazed at how early you guys learn stuff in Britain, I didn't even get to take any calculus at all in high school
Great explanation.
I salute you.
I am from India.🇮🇳🇮🇳
Linear DE? higher order DE? partial DE? Laplace transform?
Great video but perhaps it wouldn't hurt learning two more additional methods namely Riccati and Clairaut for non linear and where the derivatives are taken to a power. Also Sir, please make a playlist for Complex Analysis. Much love and prayers from India.
Sal is real superstar (much more popular than my videos). Neverthless, if you feel like making the suggestion to them then please go ahead and do so!
Yes, I will share them eventually, so please stay tuned.
It is my absolute pleasure. Good luck with PDE - I will post some more PDE videos in 2013.
Very good luck with Calc 3. You will find lots of stuff about that on my channel!
thank you
Love your videos. Keep up the good job sir.
Thats a nicccceee trick you have given to us like "SHIELDS" very interesting and trick. Hope this is your own invention.. May God blesa you in here and hereafter... Thank you verry mucch.
"Anyone Heard It before? It's brilliant"
Best Part of the lecture,😅😅😅
More popular maybe, but he only goes so far, for pure math I find your stuff really useful. I feel like Sal only has so many cylinders to fire on to make videos and it is nice to be able to find another fantastic source. PS Over 1 million channel views about math isn't too shabby.
I remember not loving these in school.
AWESOME!!, thanks for that quick understand of 1st order linear equations,
Elías from UAM-Physics (Madrid,Spain)
P.D.: Mathematics are necessary to understand physics.Therefore, you have done a great service to this student.
this is the lecture that gives me complete under standing
damn, i'm taking this class the fourth time. thought i can just check from top to bottom and find the type everytime. great video though.
* any FIRST ORDER differential equation (that you would see in first year of uni)
i feel like you lied to me and you didnt really show me how to solve any differential equation. please change your title.
Maha Khan love you Maha
Dr Chris... May God be always in your aid! You really helped us a lot 😭😭❤❤
great work sir @Dr Chris Tisdell .
Where would variation of parameters fall in this list? ie
dx/dt + x tan x = cost t
?
This is good but doesn't cover All that you see, there's bernoulli's D.E, ricatti's, cant recall the other one but there's certainly a few left
Couchy-Eurler
wow thanks so much i just started doing differentials and this has made me get a better picture on differentials
What about bournoulli's equation?
Is it possible to solve *any* nth order differential equations? I mean is there a technique to solve e.g. d^ny/dx^n=f(x)g(y)?
There are no clear answers. A lot of the methods in ordinary differential equations will work to solve higher order ones. Auxiliary equations, method of undetermined coefficients, variation of parameters, Laplace transforms, and power series solutions are all basic ideas for linear differential equations of any order. Cauchy Euler forms work in a lot of cases too. As long as you have a linear differential equation, it is probably solvable. Nonlinear equations are basically impossible from what I've seen. Numerical approximations for higher order equations are theoretically possible through the use of substitutions, but I'm not aware if that causes any changes to the degree of accuracy for the solution.
I would also like to reiterate that series solutions would theoretically work no matter what order and linearity of the differential equation. But the algebra gets extremely tedious and a general solution is basically impossible for most equations. If your intentions are initial value problems, then this will suffice. A "general solution" is practically useless if you get to the point where you're forced to solve any arbitrary order 3+ equations for any reason.
Andrew Chang Thanks for your answer. I've pretty much been introduced to differential equations and how to set them up from context (A Level Maths). We've pretty much been taught one method, separation of variables and using auxiliary equations + particular integrals.
+AlchemistOfNirnroot
"In context" is the key. Separation and auxiliary are both used extensively in 2-D physics (kinematics, forces) and analysis of time-changing phenomena (radioactivity, population growth, temperature change, basically anything that changes at a predictable rate) I think I've done enough notification filling. Best wishes for success in your studies, I hope you find math as interesting and useful as I do.
For most DEs you'll encounter in the real world, all higher derivatives are zero. n seldom goes any higher than, say, 4.
What would Bernoulli equations come under there? Substitution?
I have tried and tried and tried to understand differential equations..... I've always wanted to do a degree in astrophysics... But the thing that really scares me is the maths! Any advice would be much appreciated. I just can't see how the answers don't have numbers... I can't get my head around that.
"I just can't see how the answers don't have numbers?"
Have you tried algebra first? What is a variable? then progressing to calculus with simple examples like: Graph a car change in position over time, then understanding that "Jerk" is the fist derivative of "Acceleration"(and third derivative of Position), "Acceleration" is the first derivative of "Velocity"(and second derivative of Position), "Velocity" is the first derivative of "Position" of the car.
Jerk derives/is the rate of change of Acceleration that derives/is the rate of change of Velocity that derives/is the rate of change of Position of the car.
Sorry if I misunderstood.
Hope it helps, cheers!
What about bernoulli differential equations?
Brilliant Indeed.You made it simple..Chris.Thanks
And , after 10 years since this video was posted , I.m seeing it.
picard's method is the real method for all diffyqs
L.A. Chacin That's an interesting comment!
no its not, picards method is not constructive. you can only prove a solution exists and that its unique under certain circumstances, but using picard you cant give a concrete solution.
That's not true, under certain conditions, you can use Picard's method to integrate out into a series representation of a function.
True, it's often not the easiest of most efficient, but it's perfectly possible to solve a differential equation using it.
thats not true, picards method uses the axion of choice and therefore is not constructive. it showed that there >is< a solution and that it is >unique< under certain circumstances, but you cannot actually construct it, not even in theory.
What Picard's Method are you referring to? I'm referring to Picard's Iterative Method of Integration.
What about Bernoulli?
Ok bro i am carrying a sheild in my math exam 👍
Thnks Chris. As usual your videos are informative.
Great geeky mnemonic. However I have to add one more, Bernoulli Equations. =(
Though it's solution method is substitution =)
Method of undetermined coefficients is super satisfying
I,m not good in math but I try my best to learn
+Norris Mangua
Make sure that you master Arithmetic and Algebra.
Those courses are the fundamentals for absolutely everything else that you will encounter in later math courses.
Also, check out Khan Academy, that site has a very good Math section that covers different math topics in a good order, and the founder Salman Khan is cool - he records almost all the math videos on that site.
very intresting sir and very easy to understand
any suggestion.would.be appriciatef
In general you cover a lot of differential equation techniques not covered by the Khan Academy, I think it would be great if you two could somehow team up for this stuff.
How X²y"-2xy'+2y=4x² ?
Omg!!! Thank you so much DR Chris, thanks to this technique I managed to get my engineering degree and buy my mum a house! Send me your bank account for a 10000$ bank transfer.
Woohoo!!! You are certainly living your best life! 👍👍👍
Wait wait wait bro, This “doctor” did not think about Bernoulli equations, please take some time to think about were hour money goes, I have to feed 8 kids
@@Onefootskyride brah, that's solvable via a substitution. Quick, go feed your family.👍👍👍👍💥
Any videos regarding Laplace's equations inside a 90degrees sector of a circular annulus? I have a problem when the boundary conditions are all zero except for r(r, pi()/2)=f(r) ....
Very useful and clear explanation. Thanks Dr. Tisdell.
nice correlation will be good for beginners
sir plese add first order to the title
How to solve first order ordinary differential equations
1. Separable equation
We perform operations like addition and multipication to get
expression in y on the one side of equation and expression in x on the other side of equation
then we integrate both sides
2. Linear equation
We use fact that LHS of the equation looks similar to the product rule for derivatives
3. Exact equation
From Schwarz theorem about mixed derivatives we get
dF/dxdy = dF / dydx on some conditions
We have equation
P(x,y)dx+Q(x,y)dy=0
and from Schwarz theorem we get condition which we need to check
dP/dy=dQ/dx
Now we have following system of equations to solve
dF/dx=P(x,y)
dF/dy=Q(x,y)
and we usually have got implicit solution
F(x,y)=C
How to solve this system ?
I choose one of the equation and integrate it and role of integrating constant plays function depending on other variable
Then I differentiate function F with respect of the other variable then I integrated F and compare with functon Q(x,y) if I differentiate with respect y
or compare with functon P(x,y) if I differentiate with respect x
Equation which can be reduced to separable equation by substitution
Homogeneous diferential equation
One case of Riccati equation
Equations which can be reduced to linear by substitution
Bernoulli equation
Riccati equation with given particular solution
Equation which can be reduced to linear by introducing parameter
Lagrange equation
Non exact equations can be reduced to exact using integrating factor
Generally we need to solve partial differential equation to find integrating factor which is a difficult task
We can easily find integrating factor in the few cases fe integrating factor depends only on one variable
Te title is a bit misleading, although the video is Great
Does this still apply 2020
Good and informative lecture
Sir could you please upload more videos on infinite series.
Best resume of types of ODE
thanks so much. you are constantly saving me from panic.
So i am in exam hall watching this video,. Wish me luck guys
howd you do?
@@benjaminstevens1049 pretty bad bro
@@GOKILZO tough
you are a one grade saver mr. thankyou for this great video. 😂☺
love ODEs, im an engineer and use them all the time. No idea why I watch your vids
this video went way over my head
Hi - many thanks!
It's my pleasure!
Hello! Can you help me in solving this differnetila equation solve y'=(y^2)-1?
Variable separable bro
that is not all methods to solve differential equations , there is just methods to solve first order equations .... change your video title , the method which solve any differential equation is by laplace transform for both sides of equation .... and you don't remind in this video about euler method to solve any first order differential equation approximately by slope of the function and initial value problem .... Generally , thank you for video
Hi - if you listen at 00:04 then you'll see that I say "any first order differential equation seen in first year university mathematics". I also have many videos on Laplace transforms, in fact, I have a whole playlist devoted to them. Best wishes.
Dr Chris Tisdell I appreciate your videos , but the topic of this video inveigled me ... thanks for your scientific videos ..... knowledge is power , and your videos support this meaning , thank you Dr.chris
abdalrahman mahdly Hey random physicist who's interested in math, I take it your doing a degree/finished? If so can I ask you if all the people in your class are perpetually illogical morons who hold their heads high because they have no life and 'work' constantly (even though they waste there own time... and others, talking about stupid ideas that do not work) and namely because of a large grasp on vocab. Seriously, the people in my class didn't even know how much a reflected beam rotated after rotating the mirror.... I mean wtf? 2 THETA!!! That was second year and 95% of the class had no idea, not joking
I wish someone would shut my uni down down for raising these pure miscreants
IEatPeople4Breakfast my university is the same , there is many stupids in the world ... however , only you specify with which team you will deal , other thing i want to clarify to you " physics need math " i mean if you study physics you have to use everything you know in math , so you have to improve your knowledge in math, in other words physics is just applying math to study the universe , whatsoever math is amazing alone if you understand it you will feel a very wonderful sense , any way , if you choose knowledge way and stay away from those stupid guys , I think the best way to learn is without the university … the best way is learning by online lectures , and there is many international uni & inst uploads video lectures for free … for example MIT at (ocw.mit .edu) and "yale" you can just search for it on youtube . there is another guy how's upload videos in math on youtube ( patrickjmt ) , other math lectures you can watch on ( www.centerofmath.com ) , other education lectures on (www.learnerstv.com) you can find any lectures you like even in biology ! , also you can search on youtube for khan academy , and actually this channel which we commenting on it is helpful … there is more lectures for free now, we have the internet , guy….. if you don't understand anything just ask doctors , any one of them knows many proofs in his subject even if he don't teach these proofs for students. that is everything … take care
God speed to you for knowing what is right! FYI Book pdf's are pretty easy to come by these days. I prefer books to online lectures any day and I highly recommend grabbing a tablet and sticking a load of books on that you want to learn. Cheers for them links btw! I actually hadn't heard of the last 2
What about the anihilator aproach?
Sure, good suggestion. Is the annihilator method taught in first year university?
Dr Chris Tisdell Well i dont know about that, here in USA iam learnt it in my Differential equations class, after taking calculus I and II.
I wish I could be here to understand four years before :((((((
Bernouli?
isnt there any way to cheat any deq using Laplace Transform
dont know what that is
Wilfred Laplace transform is easier way to solve differential equations
ohmy FLY interesting
perfect thank you , very helpful .
ua-cam.com/video/4aVIrDjQ2xM/v-deo.html
#subscribe
#like
#share
how do I know if the ode/pde is in linear?
linear, that means the function y literally has a linear graph to it. which means, f (x) should never equal a power of y of which is greater than one. same concept for pde.
+VegasStreetLights what if it contains a transcendental fubction.
sine, cosine, and tangent all have graphs of which are nonlinear. Any equation including any of these terms are said to be nonlinear. I would apply it to the other transcendental functions as well. However, the possibility of my being wrong is always present. I am no expert!
I mean u(r,pi()/2)=f(r) ... sorry for the typo!
it is indeed a battle! xD
Sir what about Clairaut's Equations? and For Variable x,y,p?
It might 'SHIELD' me from first order de. but we are solving f-kin 3rd order de s in our college. What about them!
first order is really easy,,,, even the second order,,,, unless when it comes to the modeling ( Applications)
great video encapsulating ...everything ......now differential equation needs a shield becoz i'm gonna destroy them.......😈
Nice.
never wanted to be a nerd
this is wat I heard from the best bro in the world my minds always concerned and affirmed about rapping
Then get ready for the surprise
Good luck with your exam!!
Watching this after 8 years
Lol
Lol
Lol
Differn't yes! But what it equates to is pandora's box. And not the one you had release into.
Hmmmm. Where's Bernoulli? :D
+Kaye Putosa :-) Solve by "S"ubstitution.
Dr Chris Tisdell Bernoulli's principle its physics
its used in DE too
Norris Mangua haha your comment was funny af
I agree with Armaan, except that I think I might have been lauging at Norris. Sorry, Norris.
mate you need to learn how to solve the resolution of camera quality, especially yours you are running at, which the fps is like maybe 5 to 10, i'm trying to learn math, not fps math
darn, came here looking for non-linear solutions so i can plot half line solutions and see the separatrices
thanks sir...for this vieeo.. it's perfect
solve thi problem dy/dx=xy+xcube ycube i cant understood
Why did no one ever tell me about this
MORE!!!
Solve f'=erf(f)
Just remember S.H.I.E.L.D. from Avengers and you'll be fine.
Nice! 👍
Thank youu
awesome
thanks this helped
the 'D' should be Differentiate.
It would be better if you did it with examples