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Poisson's equation is a partial differential equation that occurs in many applications in engineering and physics. In two dimensions, an example would be: ((^2)*/ *(x^2))

Poisson's equation is a partial differential equation that occurs in many applications in engineering and physics. In two dimensions, an example would be: ((^2)*/ *(x^2)) + ((^2)*/(*(y^2)) = 1. Verify that the function: = ((x^2 + y^2)/4)+ C1*ln(x^2 + y^2) + C2, satisfies this equation for all values of the constants C1 and C2.

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