Chapter 12.4, Problem 3E

In Problems 1–6 solve the wave equation (1) subject to the given conditions.

3. $\begin{array}{l}u\left(0,t\right)=0,u\left(\pi ,t\right)=0,t>0\\ u\left(x,0\right)=0,{\frac{\partial u}{\partial t}|}_{t=0}=\sin x,0<x<\pi \end{array}$