Question: A nonlinear dynamic system is governed by a. Use the Simulink model to plot (x_{2}(t)). b. Derive the linearized model analytically, and use the initial

A nonlinear dynamic system is governed by

[x = x2-x x(0)= 2 0t10 x2 = 2x2 +1x2(0)=-

a. Use the Simulink model to plot \(x_{2}(t)\).

b. Derive the linearized model analytically, and use the initial command to plot the time variations of the variable that is compatible with \(x_{2}(t)\). Compare the plots generated in (a) and (b) and comment. Note that the initial command will automatically determine the most suitable time duration for the response curve.

[x = x2-x x(0)= 2 0t10 x2 = 2x2 +1x2(0)=-

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