The function z = f (x, y) is said to satisfy Laplaces equation if z xx +

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The function z = f (x, y) is said to satisfy Laplace’s equation if zxx + zyy = 0. Functions that satisfy such an equation play an important role in a variety of applications in the physical sciences, especially in the theory of electricity and magnetism. In Exercises 73 through 76, determine whether the given function satisfies Laplace’s equation.

z = xey − yex

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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