Derive the state-variable equations (in vector form) for the given nonlinear system model. (2 ddot{x}+frac{1}{3} dot{x}^{2}+2 x=e^{-2

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Derive the state-variable equations (in vector form) for the given nonlinear system model.

\(2 \ddot{x}+\frac{1}{3} \dot{x}^{2}+2 x=e^{-2 t / 3}\)

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