Solve the following Laplace equation in polar coordinates (r, 0). 8² u + Ər² 1 du 1 8²u + rər r² 20² u(3,0) = = = 0, for 0≤r<3,-π ≤0 ≤T cos(0/2) for -T≤0 ≤T
Solve the following Laplace equation in polar coordinates (r, 0). 8² u + Ər² 1 du 1 8²u + rər r² 20² u(3,0) = = = 0, for 0≤r<3,-π ≤0 ≤T cos(0/2) for -T≤0 ≤T
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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Subject-advance maths
Transcribed Image Text:Solve the following Laplace equation in polar coordinates (r, 0).
1 du 1 8²u
+
r Ər
r² 20²
8² u
+
Ər²
u(3,0)
=
=
0, for 0≤r <3,-π ≤ ≤ T
cos (0/2) for -T≤0≤T
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