Question: Show that log(x2 + y2) and x/x2 + y2 are harmonic functions, that is, solutions of the two-dimensional Laplace equation.

Show that
log(x2 + y2) and x/x2 + y2
are harmonic functions, that is, solutions of the two-dimensional Laplace equation.

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For u logx 2 y 2 we compute 2 ux 2 2y 2 2x 2 x 2 y ... View full answer

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