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.

\(\begin{cases}\dot{x}_{1}=\frac{1}{2} x_{2}-x_{1} & x_{1}(0)=\frac{3}{4} \\ \dot{x}_{2}=2 x_{2}^{-1}+1+e^{-t}, & x_{2}(0)=1\end{cases}\)

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