Show that log(x2 + y2) and x/x2 + y2 are harmonic functions, that is, solutions of the

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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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:02 AM

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Show that log(x2 + y2) and x/x2 + y2 are harmonic functions, that is, solutions of the

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

Applied Linear Algebra

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