Find all possible I/O equations. (left{begin{array}{l}frac{1}{2} ddot{q}_{1}+dot{q}_{1}+2left(q_{1}-q_{2} ight)+frac{1}{3} q_{1}=v(t) dot{q}_{2}-2left(q_{1}-q_{2} ight)=0end{array}, v(t)= ight.) input, (q_{1}, q_{2}=)

Find all possible I/O equations.

\(\left\{\begin{array}{l}\frac{1}{2} \ddot{q}_{1}+\dot{q}_{1}+2\left(q_{1}-q_{2}\right)+\frac{1}{3} q_{1}=v(t) \\ \dot{q}_{2}-2\left(q_{1}-q_{2}\right)=0\end{array}, v(t)=\right.\) input, \(q_{1}, q_{2}=\) outputs