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