Suppose that the mass in a mass-spring-dashpot system with m = 25, c = 10, and k = 226 is...

Suppose that the mass in a mass-spring-dashpot system with m = 25, c = 10, and k = 226 is set in motion with x(0) = 20 and x′(0) = 41. (a) Find the position function x(t) and show that its graph looks as indicated in Fig. 1. (b) Find the pseudoperiod of the oscillations and the equations of the “envelope curves” that are dashed in the figure.

FIGURE 1. The position function x(1) of Problem 14.