Which of the following functions satisfies Laplace's equation? (a) f(x,y,z)= e sin y (b) f(x,y,z) = sin x sinh y + cos x cosh z (c) f(x,y,z) = sin px sinh qy (p and q are constants)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Please show steps for b and c.
4. Which of the following functions satisfies Laplace's equation?
(a) f(x,y,z)= e sin y
(b) f(x,y,z) = sin x sinh y + cos x cosh z
(c) f(x,y,z)
=
sin px sinh qy (p and q are constants)
Transcribed Image Text:4. Which of the following functions satisfies Laplace's equation? (a) f(x,y,z)= e sin y (b) f(x,y,z) = sin x sinh y + cos x cosh z (c) f(x,y,z) = sin px sinh qy (p and q are constants)
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