Use the product method to find the solution of the following Laplace equation on a quarter circle subject to the given boundary conditions. Hint: The solution of x2y" + xy' - a2y = 0 which is bounded at x = 0 is y(x) = x". 1 Upp +u, +u9e = 0, 0 < r < 2, 0 < 0 < %3D u(r,0) = 0, u (r,) = 0, 0 < r < 2 %3D u(2, 0) = 0 ( - 0), o < 0 <;

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