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

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Find all possible I/O equations.

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

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