The amount of electric charge that flows every time (q(t)) in an electric circuit consisting of an inductor L, a resistor R, and a capacitor C fulfills the following differential equation: d2 q dq 1 L - + R dt 2 dt + -q = Eo(t) C with Eo(t) is the voltage source at any time. If L = 1 Henry, R = 100 0, C = 0.0004 farad, Eo (t) = 30V, q(0) = 0 C, and i(0) = q'(0) = 2A, determine the amount of electric charge every time q(t)