In 1720, proceed as in Example 3 to solve the given boundary-value problem
Chapter 13, Problem 20(choose chapter or problem)
In Problems 17–20, proceed as in Example 3 to solve the given boundary-value problem.
\(\frac{\partial^{2} u}{\partial x^{2}}+\sin x \cos t=\frac{\partial^{2} u}{\partial t^{2}}\), \(0<x<\pi\), t>0
u(0, t)=0, \(u(\pi, t)=0\), t>0
u(x, 0)=0, \(\left.\frac{\partial u}{\partial t}\right|_{t=0}=0\), \(0<x<\pi\)
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