Method of Undetermined Coefficients - Part 2
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- Опубліковано 28 вер 2024
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Using the Method of Undetermined Coefficients to find general solutions of Second Order Linear Non-Homogeneous Differential Equations.
In this video, I finish off the first example!
oh god! you make a 2hours lecture into 13mins video, great thanks
Cleo Ching he makes a half a semester of procrastinating into a 9 minute video
truee hahaha
absolutely Right
Writing 1x^2 + 0x + 0 at 5:00 helped a lot. I'm doing problems with t*e^t, but now it makes sense that it could be written as 0(t^2)(e^t) + 1(t)(e^t) + 0(e^t)
Wel, this was explained infinitely more easily than it was in lecture. Possibly because you skip less steps on examples. I suppose I'm jsut stupid, but either way your videos are much appreciated. They're very helpful.
Patrick you are awesome. I am sure it's not the first time someone tells you this but you are great. You are making college so much easier for me. I have been watching your videos since Calc 2 and damn why didn't I know about you before. I recommend your videos every time I see someone struggling with math. You are my life saver.
Wendy Garcia awesome! glad i have been able to help you a bit! thanks for recommending me :)
+patrickJMT patrick is famous all across NYC... I'm serious, ask anyone!
+patrickJMT I've been watching you since highschool and i would definitely not be where i am today without your videos. If im freaking out about a test I always come to your channel and I instantly feel more confident. Ive said it once and ill say it again, you're the bob ross of calculus. Huge thanks.
great , im from Algeria in north africa , watching his videos ^^ . it's easy to learn math with patrick , even with inglish which is not my first language ....
+patrickJMT Here in Texas! I've even seen instructors use your videos to teach the class! We love you!
This video helps a lot thanks Patrick!
In my Diff EQ class the professor used what was called an "Undetermined Coefficient Function" to get to solving the As Bs and Cs
i.e. x^3---> {x^3,x^2,x,1}
sin(2x)-----> {sin(2*x), cos(2*x)}
e^(7*x)-----> {e^(7*x)}
its taking all the possible derivatives of the function whilst ignoring the coefficients.
Ohhhhh, so this is what we're doing in diffeq class right now lol.
Why do I always understand it after I watch one of your vids?
You are a special math teacher dude. People are passing math courses because of you. Please don't stop!
THANK YOU SO MUCH. I did not know how to solve for the coefficients for the particular solution, as my prof. skipped so many steps. You make it so much more easier to understand!
Half paying attention to your video on undetermined coefficients has taught me A THOUSAND times more than HOURS with my Differential Equations teacher.
YOU have a gift!!! I hated all my math teachers till I came across your videos. I only wish my school would stop using books and would refer us to your channel instead!!!
taking my ODE final tomorrow. and this is the best help that i have recieved all semester. the best thing is that you actually speak english
Thank you patrick! I can't get any ideas, either from lecture or book,until watching your videos! You helps me a lot! THEY'RE REALLY AWESOME =)
Patrick you are awesome. I am sure it's not the first time someone tells you this but you are great. You are making college so much easier for me. I have been watching your videos since Calc 2 and damn why didn't I know about you before. I recommend your videos every time I see someone struggling with math. You are my life save
Dude your videos have saved my ass countless times before midterms and finals......THANK YOU SO MUCH!!!!!
Your videos are so much clear and understandable your voice audible not like some other people
My outlook on the test tomorrow:
Before this vid: I'm gonna fail this stupid class
After this vid: I might actually get a decent grade in this class!
Thanks Patrick!
i would've failed all my calculus courses without your videos .. I really don't know how to thank you :)
Why can't all professors explain things this easily?! You're truly a life-saver, thank you so much!
Dude you are actually the best teacher ever.
could not do this without you, actually makes sense now!
Thank you so much for all the videos, been using them since early in high school and have continued using them all through college
your such a good teacher u should get a world prize for the best teacher in the world!!
Thank you for your video.
This seems easier than what I've been through.
Glad it was helpful!
Excellent explanation. So simple and easy to understand! Thanks!
Thank you so much for your videos! I've been watching for a long time. I like all my math professors but they all have strong accents and sometimes it can be difficult to follow what they're doing. Your videos are a really great study aid. Thank you for spending your time to make them!!
You are awesome man. You should write a book, that has the same explanation you give in your videos. Simple and effective !
you can make the assumption part of y(p) more easy if you refer to a trail particular solution table. it gives you function and their y(p) form which makes the question more easier.
omgg you should be replacing my math prof at the uni!!!! :))) thank you very much for your videos! ive been trying to understand this, and this video DID help alot! pls post more examples under this same topic if you can!..you're gonna be the reason for most of our 'succes' at the exams! =D
Wow ...i am from nepal...this video is really very much helpful....no1 give this concept before...Thanks a lot for the great trick
Thanks a lot for the video! I like how you explained it clearly and acurately, but in a very simple way!
My maths lecturer could learn a lot from you...
The awkward moment when patrickJMT is your main source of math education.
Very helpful as always but it'd certainly help if you had another video diving into solving different forms of the particular solution i.e. not just as a polynomial. I appreciate your videos, making the old school teaching method irrelevant.
I really love the way you explain all this. Already subscribed your channel! Best regards from a Management student in Portugal! :D
The best thing of it all is that I can even recall my teacher explaining this stuff just like you did, at College. Congratulations!
25/11/2020 i have test tonight ..thank you so much, i really understand your lecture..
happy to help : )
Hey great vid as always patrick, but I was wondering if you could give us a Csinx + Dcosx example when solving the particular integral?? That would really make my day!!! Keep up the good work!! From Scotland :)
@liquidstl Yc I'm assuming is the general solution; It should contain Yp (particular soln) and the Yh(homogeneous soln). It's just that when you apply the derivative, whenever you get an answer that is the same as Yh soln (by arbitrarily setting your Constants to obtain), you skip over it.
you are the best .. you explain things simple and clear!! i wish you teach me Calc 4.
would you please post something about ( Variation of Parameters) and (Mechanical Vibration) ..
please im struggling in those
Rule 2: Suppose that a term in F(x) is of the form x^n f(x) (n a nonnegative integer). Suppose further that f(x) can be obtained from yh(x) by specifying values for the arbitrary constants. If this term in yh results from a root of the auxiliary equation of multiplicity k, then corresponding to x^n f(x), assume as part of yp the term Ax^k (x^n f(x)) = Ax^(n+k) f(x), plus a constant multiplied by an linearly independent function arising from it by differentiation.
Thanks for taking us to the general solution. I need to find the particular solution. I need to take y(0) and y'(0) and solve for C1 and C2. But what do I set those two equations equal to, to solve?
6 biology or medical students stumbled across this video and realised they could never be this cool
you're helping me a lot I HAVE TO offer you a beer
Mr. Patrick, why did you split the video to two parts? but great video, helpful as always since calc 1
bro .......... love u .......... 13 mints all done ......... love love love .......... liked subscribed ... recommended ....... respect from PAKISTAN
I wish I can say thanks to ur face and then give u a hug
This was massively helpful. Thanks
you could just use just y=Ax^2 (according to the RHS of the original equation here) as a particular solution. it should make things easier
This was an awesome explanation. thank you!!! this helped so much!
How do we know when to multiply by X before taking the derivative of the particular solution? I know in some cases it will cancel out because it needs the extra X. Is there a formula that will explain these certain cases?
That was cool. Do you have any solutions which have multiple trig on the RHS such as y"+4y=sinx+cosx?
Could you show an example of a nonhomogeneous linear equation problem that requires you to multiply an x to the y_p so that it would not look similar to the y_c?
What is the best way to guess what the particular equation could be?
you're a lifesaver bro!
Watching this 4hrs before my exam
@MadCow582 Im not entirely sure what to do when there is duplication between Yc and Yp either.. I know you need to multiply Yp by some power of X so that it doesnt appear in the complamentary (auxillary) solution, but my book also says that Yp's derivatives cant appear in Yc either... and im haveing trouble applying it
why are we allowed to take each term and set it equal to its respective match from 1x^2 + 0x +0...this may be elementary but I always thought with addition you couldn't split it like that.
Thanks man you are a life saver
Great explanation. I'm kinda frustrated how are you supposed to do trial and error on an exam with a time limit. ticks me off.
What to do when G(x)=e^px (P=constant)
+Harshal Panchal Ae^(px) would be the "guess" equation
The right side of the equation I'm doing is xe^x, so I got really lost at around 5:19 or so. How do I go on from there?
Thank u for this video sir im from part 1
i wonder how easy u make mathematics !! thank u so much.
Thanks, this video is very helpful
So helpful. Thank you!
could you do a variation by parameter's example using determinants?
thanx a lot, it was very clear to me
Excellent done
What if the polynomial was say -2t=4t^2, what would Y_p(t) then be equal to?
Would it be cool if you post higher order linear differential equations where the particular solution is a 3rd order polynomial? Please? Thanks :)
Great video, thanks! 👌
i think you need to use the Cauchy-Euler equation, if that helps :-)
Why did you do some more complex examples of this stuff?
Could you do an example using the Annihilator method?
Dude you're too awesome.
thanks fr that patrick
Thank you so much
What do c1 and c2 depend on??
thank you very much
Is there anyway to solve for C1 and C2?
THANK YOU
May Allah bless you brother you are the best
Thank you sir!!
your are awesome teacher, i would like to haw same rector as you ^^ ty
thanks , it helped alot
If it wasn't for you, i would have to start coming to class.
@hey0its0nick more like chuck norris since i am as white as white can be! : )
amazing
just great
You are great
who's watching this in 2017
watching this in 2018 and its a real life saver
@@5stepshred300 whos watching in 2020
Me in 21
thanks a lot 😍
thanks, thanks.. , that all what I can say.
this is better than khan's explanation
Agreed
THANK YOU
i have exams tomorrow
Jay Driss did you pass?
did you pass?
Did you pass?
Some say Don is still taking that exam to this very day...
did u pass?
ALL BOW FOR THE CALCULUS GOD!
8:28 this just about sums up every differential equations problem ever
THANK YOU PATRICKJMT. May Korean Jesus give you beautiful children.
I have a quiz tomorrow and Thanks Patrick for your amazing explanation.
Salute from Pakistan.
Arsalan Bhai Meri Assignment ka question tha jo mujhe PAHAR lagh raha tha Aur abb ak chota sa rait ka zara lagh raha hai
Literally watching this during my uni diff lecture. Prof is too slow. I can handle it at JMT pace. Good stuff, when I get my degree I'll pay it back Patrick.
lucky, most unis have the opposite problem
have you graduated? donate if so ;-)
The Destroyer get your degree??
it feels like calculus 4.
it is really really useful and really really cool stuff in my opinion. i wish i understood more of it
I have an exam tomorrow and this really cleared things up for me! thanks!
Falcrist Ian Mchardy it has been a year, how's working at McDonald?
haha no I'm talking to the dude who had the test and we never hear back yet
+Falcrist LOL so true! If you made it to ODE you're going all the way at least unless something goes horribly wrong :p