Question: Find a suitable set of state variables, derive the state-variable equations, and form the state equation. (left{begin{array}{l}ddot{x}_{1}+2 dot{x}_{1}+2left(x_{1}-x_{2} ight)=F(t) frac{1}{3} x_{2}-2left(x_{1}-x_{2} ight)=0end{array} ight.)

Find a suitable set of state variables, derive the state-variable equations, and form the state equation.

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

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