Having a few problems

1. $\displaystyle d^2y/dx^2 + 4dy/dx + 5y= x + 2$

So the characteristic equation is $\displaystyle r^2+4r+5=0$

with imaginary roots so

$\displaystyle y(h)= e^-2x(C(1)cosx+ C(2)sinx)$

But how do i solve for y(p)? I cant do 5y=x+2.. thats not working

I think i'll be fine for all of them once I figure out how to solve these when there is an x variable on the right side and not just a 0 or a constant