For #1:
Divide by t:
The integrating factor is 2/t.
Integrate:
Solve for y:
Two problems I'm stuck on.( sorry these aren't separable, they are first order linear, i wrote the wrong thing)
1: t*(dy/dt) + 2y = t^2 - t + 1
2: t*(dy/dt) + (t+1)*y = t
Any help finding the general solutions would be much appreciated.
I already got the integrating factors as 1: exp(2lnt) and 2: exp(t+lnt)