An electromotive force E(t) = {0 volts, 0 <= t < 2; 3 volts, x >= 2 is applied to an RC-series circuit in which the resistance is 5 ohms and the capacitance is 0.16 farad. If the initial charge q(0) = 0, (a) Specify the differential equation as an IVP for the RC-series circuit. (b) Apply Laplace Transform to solve the IVP and find the charge q(t) at any time t.