1. The problem statement, all variables and given/known data I've been having problems with a number of these things, here's the first one: y'' -2y' -3y = -3te-t 2. Relevant equations I know that the general solution will be y = yh + yp where yh is the general solution to the homogeneous equation, and yp is the particular solution of the non-homogeneous equation. 3. The attempt at a solution I got the homogeneous solutions very easily, but I'm tricked by how to solve for yp. I understand the principle of the solution if the right side of the equation was simply -3e-t, but when the extra t is thrown in there, my understanding breaks down. I tried yp=t2e-t, differentiated twice, and then input these expressions into the equation. I just realized that I was supposed to use an unknown coefficient (A we'll call it) with my guess at yp. Since the terms on the right side are a product, will I just use A, or will I need some B as well? Thanks for any help.