2. Natural Response of a Parallel RLC Circuit A. Derive a differential equation to model the behavior of this circuit. B. Use the initial conditions v(0*) = 10 V and i₁(0*) = 20 mA to derive the initial currents in each branch of the circuit, and the initial value of dv/dt. C. What are the characteristic roots of this system? D. Is the voltage response of the circuit underdamped, overdamped, or critically damped? + ic + iR 0.2 μF2 Vo 50 mH Το 200 Ω v