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The force of attraction P = - 10 y-Yo 2-ZO r3 between two particles at points Po: (xo,Yo,Zo) and P:(x, y,z) has potential f(x, y, z) = C/r, where r (> 0) is the distance between Po Prove that the potential fis a solution of Laplace's equation v²f = + V2f = ax2 az2

The force of attraction P = - 10 y-Yo 2-ZO r3 between two particles at points Po: (xo,Yo,Zo) and P:(x, y,z) has potential f(x, y, z) = C/r, where r (> 0) is the distance between Po Prove that the potential fis a solution of Laplace's equation v²f = + V2f = ax2 az2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The force of attraction P = - (0 y-Yo z-Zo %3D r3 T3 between two particles at points Po: (xo, Yo, Zo) and P:(x, y,z) has potential f(x, y, z) = C/r, where r (> 0) is the distance between Po Prove that the potential fis a solution of Laplace's equation v²f = + = 0 %3D ax2 ay2 az2
Transcribed Image Text:The force of attraction P = - (0 y-Yo z-Zo %3D r3 T3 between two particles at points Po: (xo, Yo, Zo) and P:(x, y,z) has potential f(x, y, z) = C/r, where r (> 0) is the distance between Po Prove that the potential fis a solution of Laplace's equation v²f = + = 0 %3D ax2 ay2 az2
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