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Exercise 4.8: Response of a motor controlled by a governor.

The response of a motor controlled by a governor can be modeled by the following system of differential equations:

The motor should approach a constant (steady state) speed as . Assume that , , and . Evaluate for t = 0,25,50,75,100,150,200,250,300,400,500. What does appear to be? You can check this by calculating the exact steady state solution which occurs when all derivatives are zero.