1. The problem statement, all variables and given/known data Solve the Cauchy problem: (t2 + 1)y' + etsin(t) y = sin(t) t2 y(0) = 0 2. Relevant equations y'(t,y) + p(t)y = g(t,y) Integrating factor e(integral of p(t)) 3. The attempt at a solution I tried finding an integrating factor, but it came out ugly. I couldn't solve the integral. e(integral of) (et * sin(t)) / (t2 + 1) Then I tried separating, and it didn't work out too nice either. I was considering using those psi things (as in, an exact equation approach) to find an answer, but the homework topics do not involve those. Instead, the topics are Existence and Uniqueness, Autonomous Eqns, Modeling with 1st Order ODEs. So how do I even start this question??