Problem # 16: Use the Laplace transform to solve the following initial value problem, 3\" - 7y' - 8y = 6(t 9), y(0) = 0, y'(0) = 0. The solution is of the form 2[g(t)] 110?). (a) Enter the function g(t) into the answer box below. (b) Enter the function h(t) into the answer box below. Enter your answer as a symbolic Preelem ewere): function oft: es in these examples Enter your answer as a symbolic examples Problem #15: The function f(t) = 2t [(t - 1) - W(t - 10)] can be written as a piecewise continuous function as follows, a(t) Ost