Transform the circuit into the s domain and solve for vcs

Question

The switch in Figure has been in position B for a long time and is moved to position A at t = 0:

(a) Transform the circuit into the s domain and solve for V_C(s) in symbolic form.

(b) Find v_C(t) for R₁ = 50 Ω, R₂ = 100 Ω, R₃ = 1kΩ, L = 500 mH, C = 1 μF, and V_A = 15 V.

In addition, the inductor is not ideal but has a parasitic resistance (in series) of 100 Ω.

(c) Repeat part (b) using Multisim.