Chapter 12, Problem 27P

(a)

To determine

Obtain the integrodifferential equation that governs the behaviour of the voltage $v_o$.

(b)

To determine

Find the Laplace transform of the integrodifferential voltage equation $v_o$.

(c)

To determine

Verify that the Laplace Transform of $i_o$ is $I_o\left(s\right)=\frac{s{I}_{dc}}{s^2+\left(\frac{1}{RC}\right)s+\left(\frac{1}{LC}\right)}$.