In 63 and 64, solve the model for a driven spring/mass system with damping m d2 x dt 2 b

Chapter 4, Problem 64

(choose chapter or problem)

In Problems 63 and 64, solve the model for a driven spring/mass system with damping

\(m \frac{d^{2} x}{d t^{2}}+\beta \frac{d x}{d t}+k x=f(t)\), x(0)=0, \(x^{\prime}(0)=0\)

where the driving function f is as specified. Use a graphing utility to graph x(t) for the indicated values of t.

m = 1, \(\beta=2\), k = 1, f is the square wave in Problem 56 with amplitude 5, and \(a=\pi\), \(0 \leq t \leq 4 \pi\).