Show that the results obtained from Problem— that is, the expressions for A1 and A2—are co...

Show that the results obtained from Problem— that is, the expressions for A1 and A2—are consistent with Eqs. 8.30 and 8.31 in the text.

Problem

Assume the underdamped voltage response of the circuit in Fig. 8.1 is written as

The initial value of the inductor current is I0, and the initial value of the capacitor voltage is V0. Show that A2 is the conjugate of A1.