Use Laplace transforms to solve the initial value problem y'' + ty' - 2y = 1, y(0) = 0, y' (0) =0. Because this equation does not have constant coefficients may need to use the frequency differentiation property of Laplace transforms ( L[(t^n)f(t)](s) = ((-1)^n)F^(n)(s) and the fact that if y(t) is a solution to this differential equation, and its Laplace transform exists, then lim(s->inf) L[y](s) = 0.
Laplace transforms are used to solve an initial value problem. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.