An electric circuit consists of an inductor (with inductance L = 1 henry), a resistor (with resistance R = 7 ohms), a capacitor (with capacitance C = 0.1 farads), and a power supply E(t) = 6 + 20t volts at time t ≥ 0. No current is flowing in the circuit at time t = 0. Find i(t), the current in this circuit at time t. Use Kirchhoff's Second Law and Laplace transforms.
L di/dt + R i + (1/C) ∫_0^t i(τ) dτ = E(t)