a. For the following model, find the steady-state response

Chapter , Problem 8.42

(choose chapter or problem)

a. For the following model, find the steady-state response and use the dominant-root approximation to find the dominant response (how long will it take to reach steady-state? does it oscillate?). The initial conditions are zero.

\(\frac{d^{3} x}{d t^{3}}+22 \frac{d^{2} x}{d t^{2}}+131 \frac{d x}{d t}+110 x=u_{s}(t)\)

b. Obtain the exact solution for the response of the above model, and use it to check the prediction based on the dominant-root approximation.

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