In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. In Problems 17 and 18 use Theorem 7.4.1 to reduce the given differential equation to a linear first-order DE in the transformed function Y(s) = ℒ{y(t)}. Solve the firstorder DE for Y(s) and then find y(t) = ℒ^-1{Y(s)}.

ty'' - y = 2t², y(0) = 0