1. The problem statement, all variables and given/known data Find the general solution for y' +3y = t + e^(-2t) for y. 3. The attempt at a solution At first I thought that since the equation was already separated, I could simply integrate both sides and get a solution easily: That results in 1.5 y^2 + y = .5t^2 - .5e^(-2t) (Unless I made a simple error, which is quite possible.) However, I quickly realized that this is not the approach to take, since it still contains multiple powers of y. So, I suspect that I will need to find an integrating factor to multiply by, (commonly called mu, I believe) but I'm not sure how you're supposed to find that.