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 = [(x − 1)2 + (y + 3)2]−1/2
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Related Book For
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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