Find a suitable set of state variables, derive the state-variable equations, and form the state equation. (left{begin{array}{l}ddot{x}+frac{2}{5}

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

\(\left\{\begin{array}{l}\ddot{x}+\frac{2}{5} \dot{x}+x=2 y \\ 2 \dot{y}+\frac{1}{2} y+x=F(t)\end{array}\right.\)

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