everyone, I've a ODE to find a solution for it. The ODE is:
$y''+2y'+10y=x^2e^{-x}cos(3x)$
I'm trying to solve it and find $y_h(x)=c_1e^{-x}sin(3x)+c_2e^{-x}cos(3x)+y_p$. The problem is to find $y_p$, the particular solution. I tryed to fint it, but a found a MONSTROUS algebric expression. Everyone have a tip to solve it more quickly? Thanks!