10. In the circuit shown in the figure, let I be the current through the inductor and V the voltage

drop across the capacitor.

(a) Show that the circuit is described by the system of ODES

[-1 -11

2 -1

10

L-1

(b) Find the general solution to the system.

(c) Find the particular solution for the initial conditions: 1(0)=2A, V(0)=3V.

R=2

ㅓㅏ

C-0.5

R=1