Method of Undetermined Coefficients to Find a Particular Solution (trig)

This video provides an example of how to find a particular to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients.

[glk]

Leaving a comment in November 2024 to indicate this video is still very much relevant and useful! Thank you much

[velites]

Extremely useful. Khanacademy didn't really take this up to the same extent but finding this, which is even better, I really don't mind. Thanks

[vuongngo]

thank you, I was stuck on solving A and B but now I get it.

[ralphlacerna]

Thank you very much sir, it really helps me alot.

[nicholascousar]

Why did you not solve for the complementary homogeneous first to make sure that there were no similar terms in the particular solution? Can you tell just be looking at g(x) that this case cannot happen?

[MrTacoSr]

this was infinitely helpful thank you!

[madehamohammedabdalrahmani]

Can you you make Video for the Udetermined Coefficients to solve Wave equation it will be wanderfull please

[amalrostom]

thats absolutly helpful ...
Thank you ...

[chummyigbo]

You are a boss!!! Thanks a lot. I stumbled upon a number of your videos and you certainly make a difference... thank you :). Very nice and helpful

[sirthicc]

Ok so I have hit a snag. Take the formula y''+4y=7sin(2x). I set yp=Asin(2x)+Bcos(2x), but when solving for this my terms all cancel out. I googled the issue and apparently you are suppose to use yp=Axsin(2x)+Bxcos(2x). My question is how do you know what to set yp equal to?

[walkinsmwenda]

would be better if you tackled an example containing with combined coefficients

[mathbio]

Thanks a lot!Its very helpful indeed!thanks!

[Christiskingofkingslordoflords]

well done man very good style of communication.. Advanced Patrick JMT? >< 

[xMrJanuaryx]

Not to criticize but the problem's I am having are simply not being addressed. I think what you should have concentrated on is finding particular solutions. That's the trick in these types of problems. You say guess, well, I am here to tell you not very many people are going to be able to simply guess what its going to look like and if you guess wrong your screwed 100% of the time.

I know there are methods for determining what a particular solution should look like. You don't have to guess anything and guessing usually only works if you have seen correct forms a thousand times. You should make a video that concentrates purely on finding the form of particular solutions. Everything else is going to be a cake walk for students taking diff-eq.

[jasonRhawt]

what if you plug in everything and get 0 = sin(2x) LOL..