7.65. Consider the network shown in Fig. 7-26. Find a state space representation for the network with the state variables $q_1(t) = i_L(t)$, $q_2(t) = v_C(t)$ and outputs $y_1(t) = i_L(t)$, $y_2(t) = v_C(t)$, assuming $R_1 = R_2 = 1 \Omega$, $L = 1 H$, and $C = 1 F$.
Ans. $\dot{q}(t) = \begin{bmatrix} -1 & -1 \\ -1 & -1 \end{bmatrix} q(t) + \begin{bmatrix} 0 \\ 1 \end{bmatrix} x(t)$
y(t) = $\begin{bmatrix} 0 & -1 \\ 0 & 1 \end{bmatrix} q(t) + \begin{bmatrix} 1 \\ 0 \end{bmatrix} x(t)$