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} ight)=e^{-t / 2} sin t ddot{theta}_{2}+dot{theta}_{2}-frac{3}{2}left(theta_{1}-theta_{2}

Assuming general initial conditions, express the system model in

a. Configuration form.

b. Standard, second-order matrix form.

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