The mathematical model of a nonlinear system is provided. Using the procedure outlined in this section, find

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The mathematical model of a nonlinear system is provided. Using the procedure outlined in this section, find the operating point and derive the linearized model.

\(\begin{cases}\dot{x}_{1}=x_{2} & x_{1}(0)=1 \\ \dot{x}_{2}=-x_{1}-x_{1}\left|x_{1}\right|-x_{2}^{3}-2+\sin \left(\frac{1}{3} t\right)^{\prime} & x_{2}(0)=-1\end{cases}\)

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