Assuming general initial conditions, express the system model in

a. Configuration form.

b. Standard, second-order matrix form.

\(\left\{\begin{array}{l}\ddot{\theta}_{1}+\dot{\theta}_{1}+\frac{3}{2}\left(\theta_{1}-\theta_{2}\right)=e^{-t / 2} \sin t \\ \ddot{\theta}_{2}+\dot{\theta}_{2}-\frac{3}{2}\left(\theta_{1}-\theta_{2}\right)=0\end{array}\right.\)