Question: For this problem we will consider the following linear PDE ay 2 =0, x, y ER. (1) (a) By making the change of variable r

For this problem we will consider the following linear PDE ay 2 =0, x, y ER. (1) (a) By making the change of variable r = (x2 + y2)1/2 find a solution for (1) in terms of r by first reducing it to an ODE. For what values of r is the solution defined? (3P. ) Rewrite the solution in terms of x and y and verify that it indeed solves (1)

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