9-53 The switch in Figure P9-53 has been open for a long time and is closed at t=0. The circuit parameters are R=50Ω, L=250 mH, C=0.5 μF, and VA=1000 V.
(a) Find the circuit differential equation in iL(t) and the initial conditions iL(0) and vC(0).
(b) Use Laplace transforms to solve for iL(t) for t ≥ 0.