1. The problem statement, all variables and given/known data y'' + y' + y = 1 + x + x2 2. Relevant equations y = Ʃ CN*xN N starts at 0 y' = Ʃ N*CN*x(N-1) N starts at 1 y'' = Ʃ N*(N-1)*CN*x(N-2) N starts at 2 3. The attempt at a solution[/] I know how solve the equations using series when the equation would equal to 0. My main question about using series on a non-homogeneous differential equation is whether or not the varialbes on the right side have the Cx coefficients? Or would they be paired up with the x, x2, etc? I think I need some quick clarification on this. Thanks!