I hardly ever leave a comment, but I absolutely love your channel. You explain so many stuff related to my major and seriously you're why I get good marks. Thank you so much!
i literally love you. you are literally god. you deserve everything good in this world. thank you for getting me through calc bc i couldn't have done it without you
you know why i like you, coz you are straight to the point. You are amazing and you shouldn't stop making videos. TBH, Khan academy is good but for revision, it takes way too long to revise solely using his videos. Thank you so much, sir. Hope you could do a face reveal lol
Thank you so much man. I came here because I totally wasn't able to understand what my frikin teacher explained.. But my problem has been solved after I watched your video. Thank you so much
MR. Organic Chemistry Tutor, thank you for a powerful analysis of Euler's Method Differential Equations and the classical Numerical Methods in Calculus
I love this guy ur literally saving me through college. Better than any of my profs honestly who complicate everything for no reason. Keep it up my guy
Fab stuff. I went through engineering math but now at 52 cant do long division. Unfortunately in life this kind of thing is not needed in most situations. I guess its here to stay for future generations so we can solve Douglas Adams Q Thanks for that teach. Im more interested to know about this euler person and how they came up with such a tool.
4:41 Isn't 1.2 + 0.1(2.2) = 1.20 + 0.22 = 1.42? The answer is not 1.44 Edit: never mind I didn't finish watching the video lmao- that scared me i was questioning by addition skills 😭
Yes there is. There’s something called the integrating factor. If you rearrange the differential equation so y prime -2y= x there is a way of making the left hand side a perfect derivative of something in terms of y and x in (so a result of something you’d get differentiating a term with both x and ys in by using the product rule and implicit differentiation). You could can multiply the whole DE by some function of x in order to get the LHS to be a perfect derivative. That is what the integrating factor does. It can be shown that for the differential equation y prime + P(x) y = G(x) the integrating factor = e^ integral P(x) dx Bit out of the blue I know but once you have seen the proof this is honestly more intuitive than separation of variables imo So in this case our P(x) is -2, so our integrating factor is e^-2x So d/dx (ye^-2x) = xe^-2x So ye^-2x= integral xe^-2xdx And then use by parts to find the right hand side, and sub in initial conditions to find c
@@kashoot4782 I'm already done with my course in DE yet we haven't really discussed this topic. But I think it's better to learn these things just to add more knowledge. Thanks for the explanation as well.
becoming math teacher is never been that easy.I will learn today from organic chemistry tutor and I will teach next day my students.Full marks guaranteed!🤣
Apply Euler's method to slove the following inital value problem y`=x+y y(0)=0 Choosing h=0.2 and computing y1,y2.....y5 .. compare them with the actual values...can u help me to slove this problem sir ?
You remind me my great Maths teacher. The way you explain is amazing. Here is my contribution to your follow students - it is all all Python: import numpy as np import matplotlib.pyplot as plt plt.style.use('fivethirtyeight') ''' Euler's Method: This is used to appoximate calculated numbers. In memory of Katherine Johnson's of Euler's method to calculate the path of Appolo from earth to the Moon, We will be using Eurel's to find the path. steps = 0.1, y= x^2 + 3 - in real world we should have hear Newton's trajectory equation dy/dx = 2x ''' x = np.arange(0, 10, .5) y = x**2 + 3 dydx = 2*x step = 0.5 y1 = 0 dy = [] y_eurel = [] for i in range(len(x)): y1 = y1 + step * x[i]*2 y_eurel.append(y1) print(y_eurel) print(dy) plt.plot(x, y, linewidth=2, label='Path') plt.plot(x, dydx, '--r', linewidth=2, label='dy/dx') plt.plot(x, y_eurel, '+g', linewidth=2, label="Eurel's Method") plt.legend() plt.title(f"Eurel's Method with {step}") plt.tight_layout() plt.show()
@@RamboTheGrand lolz, I can also do it in C++, Java, Fortrant, R, Scale, F# etc. It was not about showing off, it was a sincere message to a very good math teacher. I recommend this channel to anyone, who want to learn maths. And he is doing great job for humanity- though he has also earning lot of money from his great presentations.
@@RamboTheGrand do not dwel on coding debate. Instead, think about how Katherine Johnson and her team used Eurel's method to calculate the orbit of Apolo 11. Think about how those group of women, used as computers, could have done better by having Python in 1960s.
I'll build a school and hire all amazing youtube tutors I'll call it (the cool school where no one sinks in the pool) until then I'll study for the exam
The reason euler's method broken/fail especially the "TimeStep" is beacause his timestep is not a catenary flow, remember any other Arch design is not strong except the "Catenar method" thats simple logic.. here is an example of "First Catenary method"it is not a Hyperbolic cosine same usually uses.. 🤘 ua-cam.com/video/YfVsV_jPSrM/v-deo.html
Final Exams and Video Playlists: www.video-tutor.net/
idea for next video: Modified Euler Methods, Runge Kutta Method 2nd, 4th order
I hardly ever leave a comment, but I absolutely love your channel. You explain so many stuff related to my major and seriously you're why I get good marks. Thank you so much!
Your dog water! Your bad! Getting EZ dubs~
You’re*
i literally love you. you are literally god. you deserve everything good in this world. thank you for getting me through calc bc i couldn't have done it without you
Married
Wow slow down sister hes good but not god
you know why i like you, coz you are straight to the point. You are amazing and you shouldn't stop making videos. TBH, Khan academy is good but for revision, it takes way too long to revise solely using his videos. Thank you so much, sir. Hope you could do a face reveal lol
you're a genius, i hope you know how many people appreciate you
Honeslty man, you're really helping me through all of my classes. Thanks for making these videos, they're very clear and easy to follow
You're the best teacher in math. I like your explanation step by step. I SALUTE you for this. May God bless you always..
this video is very important for us as engineering students
When you got 1.44, I questioned my entire addition career
me too
😂
Same. I IMMEDIATELY fled to the comments lol
I noticed that too, i was like "WAIT HOLD ON"
This guy made me to have A's in my maths...GOD BLESS YOU SIR
I learned more in 2 min than I did 2 hours with my teacher
Josh Secrieru I think so
bruh me too
I guess this tutorial and this like tutorial videos will be destroy techars job
I am the same. It's incredibly irritating.
Bro same 😭
oiler's method
So *_oily_*
Its pronounced Eeeeuuulers method.
Hidden figures right?hahaha
Thank you so much man. I came here because I totally wasn't able to understand what my frikin teacher explained.. But my problem has been solved after I watched your video. Thank you so much
This is the video that finally made me understand Euler's method
Did anyone else almost lose their mind at 1.44
Very much!!!...........I'm like, can I trust this guy🙄🤔
I was about to make the same mistake. But then he made it and I paused the video and went down to the comments
I don't get it. Is something wrong
4:29
@Andrew Stewarts ohhhh thanks
You sir just made my Numerical Methods class easier, thank you so much!
None of the resources I had looked at mentioned the formula explicitly. It was awfully helpful. Thanks a lot!
now I'm curious, you probably don't remember but if they didn't teach the formula how did they teach it?
this was beautifully explained man, the way you visualized it with the graph made everything click for me
Thanks for the vid. I really like how you write the formula. it's much more easy to follow than what I was taught
Learning this the night before my ap calc bc exam 🥰
same lmao I'm screwed
same omg
Wish me luck for my numerical final on 16 Feb 2024. Thank you very much JG!
how did it go broski
@@frien.3 I'm pass comrade :D
@@war_correspondent well I'm writing mine tomorrow, wish me luck 🤞
@@frien.3 Good luck brosky!
@@war_correspondent thanks man🙏
MR. Organic Chemistry Tutor, thank you for a powerful analysis of Euler's Method Differential Equations and the classical Numerical Methods in Calculus
You saved my exam multiple times !! Love you
I love this guy ur literally saving me through college. Better than any of my profs honestly who complicate everything for no reason. Keep it up my guy
4:33 error at 1.2+0.22 = 1.42, the methods were all correct just this simple miss calc that caused it to be way off.
He caught the mistake at 4:50 though
Bro this actually helped me a lot
My Heartfelt gratitude
Thank you so much
I didn't understand this before watching your video
TYSM
Oh man i should pay you half my college tutions! Youve helped me throughout all semesters!
I don't know what I'd do without these videos
I HAVE NO WORDS ANYMORE...SIMPLY THE BEST
really enjoyed watching this again 3-4 years later ❤❤❤❤❤
Much love brother. May you prosper in this life and the next one
Fab stuff. I went through engineering math but now at 52 cant do long division. Unfortunately in life this kind of thing is not needed in most situations. I guess its here to stay for future generations so we can solve Douglas Adams Q Thanks for that teach. Im more interested to know about this euler person and how they came up with such a tool.
Don’t know how this relates to organic chemistry but I’m glad it exists
3 mins into your video and I already learned more than with the textbooks and lectures I'm paying $200 for! I wish I could pay you that money instead.
Great Teachings clear and thorough much Respect
Thank you! i have a test today and this saved me
Really amazing videos! you're one of my favorite teachers would you mind if you do vedios on how to use disco scientific calculator
Thank you so much!! It really helps me to understand better!
4:41 Isn't 1.2 + 0.1(2.2) = 1.20 + 0.22 = 1.42? The answer is not 1.44
Edit: never mind I didn't finish watching the video lmao- that scared me i was questioning by addition skills 😭
oh I stopped vid to comment abt this and saw ur comment 😂😂
U r very good faculty sir❤
Thank you for helping me pass AP Calc BC
Could you please do a video on improver euler’s method?
Hey at 4:41, it is not 1.44 but 1.42
Finally I understood Euler’s equation!
Please can you do Euler for two differential equations
sheeeesshhhh.. it does more make sense now. I can't thank you enough, Sir!
Mans caught his mistake in the first example good stuff 🔥
Who has an exam tomorrow 😂
I'm have an exam just 10 mins from now
Meee babe
I have one in 2 hours, this is the last thing I need to study
0:00 is Eulers
8:01 is tangent line
i love you so much. ty for this vid. god bless you.
Is this the explicit eulers method?
wait how to determine the value of the y1? why the first is 1 and the second is 3 ?
Is their any way to solve for the actual value in the second example?
Yes there is. There’s something called the integrating factor. If you rearrange the differential equation so y prime -2y= x there is a way of making the left hand side a perfect derivative of something in terms of y and x in (so a result of something you’d get differentiating a term with both x and ys in by using the product rule and implicit differentiation). You could can multiply the whole DE by some function of x in order to get the LHS to be a perfect derivative. That is what the integrating factor does. It can be shown that for the differential equation y prime + P(x) y = G(x) the integrating factor = e^ integral P(x) dx
Bit out of the blue I know but once you have seen the proof this is honestly more intuitive than separation of variables imo
So in this case our P(x) is -2, so our integrating factor is e^-2x
So d/dx (ye^-2x) = xe^-2x
So ye^-2x= integral xe^-2xdx
And then use by parts to find the right hand side, and sub in initial conditions to find c
@@kashoot4782 I'm already done with my course in DE yet we haven't really discussed this topic. But I think it's better to learn these things just to add more knowledge. Thanks for the explanation as well.
thank you very much an exellent presentation
Best Eulers Method Video!
At 12：32, why the difference between yn and yn+1 is h*f‘(X)?
thanks for making this topic simple and easy enough to understand
But what is the real value of the last example with y(2.5)?
i got 9.44
y' - 2y = x (linear in y)
y = - 3/4 + ce^2x
@@Hugo-lm7ed how did u get that value, i forgot how to do anti derivative si I'm stuck there
@@paranoidparadigm886 i'm sorry. It's been over a year now and i completely forgot everything 😭😂
@@paranoidparadigm886 so your integrating factor is e^-2x
So d/dx(ye^-2x) = xe^-2x
ye^-2x = integral of xe^-2x
Then use by parts for that
12:33 is my highlight for this video. I don't know why I found that "n" so funny
I just love all your vedeos. thank you so much!!!
@8:52 - the perfect square
😂thanks to the comment section i noticed it too
Eyyy my trust for this guy is way beyond
That was beautiful. Thank you so much.
is it not 1.42 for y2
How for did you get into the video?
He acknowledges this at 4:50
4:40 it should be 1.42 not 1.44
becoming math teacher is never been that easy.I will learn today from organic chemistry tutor and I will teach next day my students.Full marks guaranteed!🤣
Apply Euler's method to slove the following inital value problem y`=x+y y(0)=0
Choosing h=0.2 and computing y1,y2.....y5 .. compare them with the actual values...can u help me to slove this problem sir ?
Excellent work. Thanks.
Really they are helping
What is n?
9:53 i thought my phone died.. Lol
What is the name of this professor kindly I want to fully follow him
Thank you! VERY helpful :)
Thank you sir.
thanks alo and please do one on picards method
You remind me my great Maths teacher. The way you explain is amazing. Here is my contribution to your follow students - it is all all Python:
import numpy as np
import matplotlib.pyplot as plt
plt.style.use('fivethirtyeight')
'''
Euler's Method:
This is used to appoximate calculated numbers.
In memory of Katherine Johnson's of Euler's method to calculate the path of
Appolo from earth to the Moon,
We will be using
Eurel's to find the path.
steps = 0.1, y= x^2 + 3 - in real world we should have hear Newton's trajectory equation
dy/dx = 2x
'''
x = np.arange(0, 10, .5)
y = x**2 + 3
dydx = 2*x
step = 0.5
y1 = 0
dy = []
y_eurel = []
for i in range(len(x)):
y1 = y1 + step * x[i]*2
y_eurel.append(y1)
print(y_eurel)
print(dy)
plt.plot(x, y, linewidth=2, label='Path')
plt.plot(x, dydx, '--r', linewidth=2, label='dy/dx')
plt.plot(x, y_eurel, '+g', linewidth=2, label="Eurel's Method")
plt.legend()
plt.title(f"Eurel's Method with {step}")
plt.tight_layout()
plt.show()
Your just flexing your python skills, I could do this in c++.
@@RamboTheGrand lolz, I can also do it in C++, Java, Fortrant, R, Scale, F# etc.
It was not about showing off, it was a sincere message to a very good math teacher. I recommend this channel to anyone, who want to learn maths. And he is doing great job for humanity- though he has also earning lot of money from his great presentations.
@@maxmohamed9878 I believe you but the same time I doubt it.
@@RamboTheGrand do not dwel on coding debate. Instead, think about how Katherine Johnson and her team used Eurel's method to calculate the orbit of Apolo 11. Think about how those group of women, used as computers, could have done better by having Python in 1960s.
@@maxmohamed9878 I dwell on coding debate so what are you gonna do about it?
Euler's method so sweet.
Great video.
Many many thanks.🥰
Is it pronounced “Oilers,” or “You-Lers?”
Hi could you please help me with this question dy/dx =x+1+3y/x
Quite late.
Dy/dx = x+1 +3y/x
y’ x+1+3y/x
y’-3y/x = x+1
y’ - 3* (1/x ) *y = x+1
And now I think you can follow the formula
@@MIDNIMOJANAQOOW Even more late but the original equation would still work for Euler's method! dy/dx = y'
at 4:36 your answer was incorrect. 1.2+0.22=1.42 not 1.44
nevermind
i paused right away and freaked out also
3munchenman hahahah nice sarcasm
@@katekaninyamandi1977 you stupid
I got 1.42 also. I believe he made an error.
in love with u r voice
9:30 Y=MX+B MENTIONED?? 💪💪💪
It's so damn easy and they make this shit all complex.
my professor's thick accent + speed at which she teaches made me believe this was way harder than it really was
God bless you 🙏🙏🙏🙏🙏
lol @ 1.2 + 0.22 = 1.44
thanks for this, brilliant!
Shouldn't Y(2) = 1.42 not 1.44?
sorta jumped the gun on that one
I'll build a school and hire all amazing youtube tutors
I'll call it (the cool school where no one sinks in the pool)
until then I'll study for the exam
The reason euler's method broken/fail especially the "TimeStep" is beacause his timestep is not a catenary flow, remember any other Arch design is not strong except the "Catenar method" thats simple logic.. here is an example of "First Catenary method"it is not a Hyperbolic cosine same usually uses.. 🤘
ua-cam.com/video/YfVsV_jPSrM/v-deo.html
thank you so much!
Thank you so. much!
You are a super hero
you are my father figure
Does anybody know if it is implicit or explicit Euler's method?
This is explicit Euler's method.
dude u are awesome
Thanks sir
I just only came here from watching Hidden Figures.