# Derivative Problem

## Homework Statement

Find the constants A, B, and C such that the function $$y=Ax^{2}+Bx+C$$ satisfies the differential equation $$y^{''}+y^{'}-2y=x^{2}$$.

## The Attempt at a Solution

I know that $$y^{''}+y^{'}-2Ax^{2}-2Bx-2C=x^{2}$$ and that $$y^{'}=2Ax+B$$ and $$y^{''}=2A$$, but I'm really stuck at this point. Any help would be appreciated.