Question: 5. Suppose that u( 3, y) is a continuously differentiable, circularly symmetric function, so that when expressed in polar coordinates, I = roos, , y

5. Suppose that u( 3, y) is a continuously differentiable, circularly symmetric function, so that when expressed in polar coordinates, I = roos, , y = rain, it depends solely on the rixliusr; that is w = / (r). Show that a (x,y) = /(r) cost and hence deduce that /(0) = 0, which implies the Neumann boundary condi- lion u = 0 when r = (

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