Find vcnbspt and ilt for t ge 0- is the circuit overdamped

Question

Repeat given Problem with R₁ =2kΩ, R₂ =2kΩ.

Problem

The switch in Figure has been open for a long time and is closed at t = 0. The circuit parameters are L = 1.25 H, C = 0.05 μF, R₁ = 33 kΩ, R₂ = 33 kΩ, and V_A = 20 V.

(a) Find v_C (t) and i_L(t) for t ≥ 0.

(b) Is the circuit overdamped, critically damped, or underdamped?

(c) Use Multisim to validate your results.