Problems:
1. Consider the following circuit with $v(0^-) = 2V$ and let $f(t) = 2 \cos(\omega_1 t + \frac{\pi}{3}) V$, where $\omega_1 = \frac{1 + \sqrt{3}}{1 - \sqrt{3}} rad/s$.
For $t > 0$, obtain:
2?
f(t)
$\frac{1}{2}F$
(a) the zero-state voltage across the capacitor's terminals, $v_{zs}(t)$,
(b) the zero-input voltage across the capacitor's terminals, $v_{zi}(t)$,
(c) the transient voltage across the capacitor's terminals, $v_{tr}(t)$,
(d) the steady state voltage across the capacitor's terminals, $v_{ss}(t)$, and
(e) the total voltage across the capacitor's terminals, $v(t)$.