Consider again the RLC circuit of Problem P3.1 when R = 2.5, L = 1/4, and C

Question:

Consider again the RLC circuit of Problem P3.1 when R = 2.5, L = 1/4, and C = 1/6.
(a) Determine whether the system is stable by finding the characteristic equation with the aid of the A matrix.
(b) Determine the transition matrix of the network.
(c) When the initial inductor current is 0.1 amp, vc(0) = 0, and v(t) = 0, determine the response of the system.
(d) Repeat part (c) when the initial conditions are zero and v(t) = E, for t > 0, where E is a constant.