# inhomogenous d .e

• May 29th 2009, 06:51 PM
i_zz_y_ill
inhomogenous d .e
how do i solve this? $\frac{d^2y}{dx^2}+2\frac{dy}{dx}+2y=10exp(-x)sinx$ any ideas? the complementary function is $exp(-x)(Acosx+Bsinx)$ for this reason should the trial particular integral be erm,,,, $xexp(-x)(Dcosx+csinx)$???

i've basically never met an example like this and dont know what the trial yp should be?!Inhomogeneous 2nd-order differential equations
• May 29th 2009, 08:11 PM
Calculus26
Do you know the method of variation of parameters?

This would be easier if you already know the method.

If not http://www.mathhelpforum.com/math-he...d64aa45c-1.gif is the correct form of yp.

Did you make your professor mad or something? This is tedious but not
complicated.