The following model has a polynomial input. x1 = 3x1 + 4x2

Chapter , Problem 8.53

(choose chapter or problem)

The following model has a polynomial input.

\(\begin{aligned} \dot{x}_{1} & =-3 x_{1}+4 x_{2} \\ \dot{x}_{2} & =-5 x_{1}-x_{2}+f(t) \\ f(t) & =-\frac{5}{3} t^{2}+\frac{25}{3} t \end{aligned}\)

The initial conditions are \(x_{1}(0)=3\) and \(x_{2}(0)=7\). Use Simulink to plot \(x_{1}(t)\), \(x_{2}(t)\), and f (t) on the same graph.

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