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Show that the Green's function for the 2-dimensional Laplace over the entire 2-dimensional space is G (r, r) = - 1 In[(x - x ))2

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Show that the Green's function for the 2-dimensional Laplace over the entire 2-dimensional space is G (r, r) = - 1 In[(x - x ))2 + (y - y')21/2 where, r = (x , y ) and r = (x', y')

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