Verify that the function u 1 x 2 y 2 z 2 is a solution of the three dimensional Laplace equation u xx u yy u zz 0 ...

1 x y 26 Uz x y x 2x xx y 2 and 2x y2 ...

Verify that the function u = 1/x 2 + y 2 + z 2 is a solution

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Verify that the function u = 1/√x² + y² + z² is a solution of the three-dimensional Laplace equation u_xx + u_yy + u_zz = 0.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 10, 2019 08:35 AM

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Verify that the function u = 1/x 2 + y 2 + z 2 is a solution

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Calculus Early Transcendentals

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