Question

Method of Undetermined Coefficients. Find General Solution of y''+y'=4x(sinx). im having a hard time finding the particular solution...

Answer 1

Try a linear combination of x sin x, x cos x, sin x and cos x.

Answer 2

oh, and 1.

Answer 3

Also, you can simplify the problem a little by integrating both sides once before substituting:
\[y' + y = \int\limits 4x \sin x \ dx\]

Answer 4

Ok Thats what I thought it may be, I did AxCosx+BCosx+CxSinx+DCosx

Answer 5

+ E

Answer 6

You need a constant term as well.

Answer 7

ok, ill try that. Thanks!