Verify that the function is a sol'n of the given differential equation:
t*dy/dt - y = t^2, y = 3t + t^2
So I worked with y = 3t + t^2
y' = 3 + 2t
y'' = 2
Then, t*dy/dt - (3t + t^2) = t^2 .. so if it did work, that means t*dy/dt = 3t, but I don't seen how.