Chapter 8, Problem 8.42P

To determine

(a)

The steady-state response of the model equation $\frac{d^{3}x}{d{t}^3}+22\frac{d^{2}x}{d{t}^2}+131\frac{dx}{dt}+110x=u_s\left(t\right)$ and consequently the dominant response for this model.

To determine

(b)

The exact solution for the model equation $\frac{d^{3}x}{d{t}^3}+22\frac{d^{2}x}{d{t}^2}+131\frac{dx}{dt}+110x=u_s\left(t\right)$ and thus, check that the predictions for the dominant response are right or not in sub-part (a).