Solve ty'' - y' = 2t^2 using Laplace Transforms.
I took the Laplace transform of both sides. This yielded me in the end:
\frac3s \,Y(s) +\frac{d}{ds}\,Y(s) = -\frac4{s^5}
Is there anyway I can group the Y(s) by itself and then take the inverse Laplace? If so how? Also, can you do this without integrating factor?
