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Vectors and Partial Derivatives : Laplace's Equation

Show that z = x^(2) - y^(2) + 2xy satisfies Laplace's Equation z (subscript)xx + z (subscript)yy .

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Proof. As z = x^(2) - y^(2) + 2xy, we have (partial derivatives)
zx=2x+2y and ...

Solution Summary

Laplace's equation is investigated.

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