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## Homework Statement

Find the general solution for y' +3y = t + e^(-2t) for y.

## 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.