Answer: In 120, solve the given boundary-value problem by an appropriate integral
Chapter 15, Problem 10(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.
\(\frac{\partial^{2} u}{\partial x^{2}}+r=\frac{\partial u}{\partial t}\), 0<x<1, t>0
\(\left.\frac{\partial u}{\partial x}\right|_{x=0}=0\), u(1, t)=0, t>0
u(x, 0)=0, 0<x<1
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