Consider the circuit shown in Figure in which the switch has been open for a long time prior to t = 0 and we are given R = 25Ω.
a. Compute the undamped resonant frequency, the damping coefficient, and the damping ratio of the circuit after the switch closes.
b. Assume that the capacitor is initially charged by a 25-V dc source not shown in the gure, so we have v(0+) = 25V. Determine the values of iL(0+) and v' (0+).
c. Find the particular solution for v(t).
d. Find the general solution for v(t), including the numerical values of all parameters.
