Question: Use a software package such as MATLAB to plot the step response of the following model for three cases: a = 0.2, a = 1,

Use a software package such as MATLAB to plot the step response of the following model for three cases: a = 0.2, a = 1, and a = 10. The step input has a magnitude of 2500.
d4y/dt4 +24 d3y/dt3 +225 d2y/dt2 + 900 dx/dt + 2500y = f+a df/dt
Compare the response to that predicted by the maximum overshoot, peak time, 100% rise time, and 2% settling time calculated from the dominant roots.

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