Chapter 13.9, Problem 2P

A metal plate covering the first quadrant has the edge which is along the $y$ axis insulated and the edge which is along the $x$ axis held at

Find the steady-state temperature distribution as a function of $x$ and $y .$ Hint:

Follow the procedure of Example 2, but use a cosine transform (because $\partial u/\partial x=0$ for $x=0$). Leave your answer as an integral like (9.13).