Question: A nonlinear model is given. a. Obtain the linear state-space form in Simulink. b. Derive the linearized model analytically to confirm the result of (a).

A nonlinear model is given.

a. Obtain the linear state-space form in Simulink.

b. Derive the linearized model analytically to confirm the result of (a).

\(2 \ddot{x}+x^{3}=\frac{1}{8}+\sin t, \quad x(0)=1, \quad \dot{x}(0)=1\)

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