Problem 1a (6 points): Find the differential equation associated with the transfer function: C(s) e-ST R(s) s+s+1 Problem 1b (7 points): Find y(t)for Y(s) = (s+2)(s + 4) s(s + 1)(s + 3) Problem 1c (7 points): Find the final value of the system corresponding to Y(s) = 3(s + 2) s(s+ 25 + 10)