A function of two variables that satisfies Laplace's Equation, Is said be harmonic. Show that the functions

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A function of two variables that satisfies Laplace's Equation,

Is said be harmonic. Show that the functions defined in Problems 1 and 2 are harmonic functions.
1. ((x, y) = x3 y - xy3
2. ((x, y) = ln(4x2 + 4y2)

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 11:07 AM

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A function of two variables that satisfies Laplace's Equation, Is said be harmonic. Show that the functions

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