Chapter 7.6, Problem 22P

Program Plan Intro

Program Description: Purpose of the problem is to show that position function for the spring mass system is defined by the differential equation $x^{″}+x={\displaystyle \sum _{n=0}^{\infty }\delta \left(t-2n\pi \right)};x\left(0\right)=x^{\prime }\left(0\right)=0$ and the solution is $x\left(t\right)=\left(n+1\right)\sin t$ for $2n\pi <t<2\left(n+1\right)\pi$ .