Solved: In 120, solve the given boundary-value problem by an appropriate integral
Chapter 15, Problem 6(choose chapter or problem)
In Problems 1–20, solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary.
\(\frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial^{2} u}{\partial t^{2}}\), 0<x<1, t>0
u(0, t)=0, u(1, t)=0, t>0
\(u(x, 0)=\sin \pi x\), \(\left.\frac{\partial u}{\partial t}\right|_{t=0}=-\sin \pi x\), 0<x<1
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