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(Solved): The appropriate Fourier transform to solve \[ \begin{array}{l} \frac{\partial^{2} u}{\partial x^{2} ...



The appropriate Fourier transform to solve \[ \begin{array}{l} \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\p
The appropriate Fourier transform to solve \[ \begin{array}{l} \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0,00 \\ u(0, y)=1, u_{y}(\pi, y)=5, \quad y>0, \text { and } \\ u_{y}(x, 0)=0


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Solution :- We uses fourier sine transform with respect to
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