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

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Find all possible I/O equations.

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

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