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## Homework Statement

Let f(t) be the solution to the initial value problem 2t(dy/dt)+y=t^4

with f(0) = 0

find f(t).

## Homework Equations

## The Attempt at a Solution

I tried to do this by separating variables but that hasn't gotten me very far. I don't know if I can do it by doing that thing where you find an integrating factor and like raising e^(some integral)? It didn't really make any sense to me when I tried it, so could someone explain it please? Thanks!