Solve the following Laplace equation in polar coordinates (r, 0). J²u 1 Ju 1 2²u + Ər² r Ər + 7-²00² u(3,0) = 0, for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 53RE
Question
Solve the following Laplace equation in polar coordinates (r, 0).
J²u 1 Ju 1 2²u
+
Ər² r Ər
+
7-²00²
u(3,0)
=
0, for 0<r<3,-π ≤0 ≤
cos(0/2) for - T ≤OST
Transcribed Image Text:Solve the following Laplace equation in polar coordinates (r, 0). J²u 1 Ju 1 2²u + Ər² r Ər + 7-²00² u(3,0) = 0, for 0<r<3,-π ≤0 ≤ cos(0/2) for - T ≤OST
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