1. The problem statement, all variables and given/known data find f(x) satisfying the equation: f'(x)f(x)=f'(x)+f(x)+2x^3+2x^2-1 2. Relevant equations 3. The attempt at a solution I have the general idea of what to do but need to know if f(x) is a degree 2 polynomial for this problem to work. I assume it is so you can get to a third power through multiplying f(x) by f'(x), and after that you just make many substitutions. Am I on the right track?