(a) Find the inverse Laplace transform of

(b) A voltage source Ve^–tsin t is applied across a series LCR circuit with L = 1, R = 3 and C = 1/2.

Show that the current i(t) in the circuit satisfies the differential equation

Find the current i(t) in the circuit at time t ≥ 0 if i(t) satisfies the initial conditions i(0) = 1 and (di/dt)(0) = 2.

Transcribed Image Text:

1 (s + 1)(s + 2)(s + 2s + 2)