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Laplace's equation Verify that the following functions satisfy au, u 0. ax²' ay? Laplace's equation, + u(х, у) — In (x? + у?)

Laplace's equation Verify that the following functions satisfy au, u 0. ax²' ay? Laplace's equation, + u(х, у) — In (x? + у?)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Laplace's equation Verify that the following functions satisfy au, u 0. ax²' ay? Laplace's equation, + u(х, у) — In (x? + у?)
Transcribed Image Text:Laplace's equation Verify that the following functions satisfy au, u 0. ax²' ay? Laplace's equation, + u(х, у) — In (x? + у?)
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