ty" -tyy = 0, y(0) = 0, y'(0) = 3. (1) 1. Apply the properties of Laplace transform to show that the Laplace transform of the solutions Y(s) satisfies the the first order DE (s - 1)Y' (s) + 2Y(s) = 0. 2. Solve the above first order DE and then deduce the solution to the original DE (1) End of exam