a. For the following model, find the steady- state response and use the dominant -root approximation to

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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

d3x/dt3 +22 d2x/dt2 + 131 dx/dt + 110x = us(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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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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