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} ight.)

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

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