Question: Repeat Problem 19 for [begin{cases}dot{x}_{1}=x_{2}+2 sin t, & x_{1}(0)=1 dot{x}_{2}=x_{1}^{3}+3 x_{2}-1 & x_{2}(0)=0end{cases}] Data From Problem 19: Derive the linearized model for the nonlinear

Repeat Problem 19 for

\[\begin{cases}\dot{x}_{1}=x_{2}+2 \sin t, & x_{1}(0)=1 \\ \dot{x}_{2}=x_{1}^{3}+3 x_{2}-1 & x_{2}(0)=0\end{cases}\]

Data From Problem 19:

Derive the linearized model for the nonlinear system, described by \[\begin{cases}\dot{x}_{1}=x_{1}\left|x_{1}\right|+x_{2}-1+\sin t & x_{1}(0)=-1 \\ \dot{x}_{2}=-x_{1}-x_{2}-1 & x_{2}(0)=0\end{cases}\]

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