In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complementary function of the solution of ‘i’ is?
(a) ic = ce^-100t
(b) ic = ce^100t
(c) ic = ce^-200t
(d) ic = ce^200t