Find the temperature profile in the semi-infinite solid defined by the Figure P9.15. The side at (x=0)

Question:

Find the temperature profile in the semi-infinite solid defined by the Figure P9.15. The side at $x=0$ is held at a temperature $T=0$. The side defined by $y=0$ is insulated for $01$. Use the transformation $z=\sin (w)$ where $z=x+i y$ and $w=\phi+i \psi$. This transformation takes the region $x=0$ and maps it to $\phi=0$. It takes the region $01$ and maps it to $\phi=\pi / 2$. image text in transcribed