There is no initial energy stored in the circuit in Figure P10-41.

(a) Transform the circuit into the \(s\) domain and formulate mesh-current equations.

(b) Show that the solution of these equations for \(I_{2}(s)\) in symbolic form is

(c) Identify the poles and zeros of \(I_{2}(s)\).

(d) Find \(i_{2}(t)\) for \(v_{1}(t)=20 u(t) \mathrm{V}, R_{1}=2 \mathrm{k} \Omega, R_{2}=\) \(100 \Omega, L=1 \mathrm{H}\), and \(C=0.5 \mu \mathrm{F}\).

(e) Validate your answers using Multisim.