Question

How do you find the particular solution to y''+25y=5xcos(5x)

Answer 1

I was working with the guess for the particular as being\[x(Ax+B)(C\cos x+D\sin x)\]but it gets very messy
not as bad as the integrals I got trying to do variation of parameters though
I suggest you go ahead and put that guess to work, I'm not going to resolve the algebra in this one ;)

Answer 2

okie dokes thanks!!! I really appreciate all of your help!

Answer 3

sure thing, good luck!