Find the current at time t if the charge on the capacitor

Question

RLC Series Circuit. In the study of an electrical circuit consisting of a resistor, capacitor, inductor, and an electromotive force (see Figure),

We are led to an initial value problem of the form

L dI/dt + RI + q/C = E(t);

q(0) = q₀,
I(0) = I₀,

where L is the inductance in henrys, R is the resistance in Ω, C is the capacitance in farads, E(t) is the electromotive force in volts, q(t) is the charge in coulombs on the capacitor at time f, and I = dq/dt is the current in amperes.

Find the current at time t if the charge on the capacitor is initially zero, the initial current is zero, L = 10 H, R = 20 Ω, C = (6260)^-1 F, and E(t) = 100 V.