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.