Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is given by Ld" (t) + Rd (t) + a(t) = E(t), where L, R, C and E represent inductor, resistor, capacitor, and initial energy respectively. Use the Laplace transform to find the charge q(t) when L= 1h, R = 12, C, E(t) = 40 V, q(0) = 0 = d(0).