Solve Laplace's equation inside a 60° wedge of radius a, 1 ³u = 0, r2 a02 ди Osrsa, 0s0s r år ar subject to the boundary conditions u(r,0) = 0, u(r,) = 0, u(a,0) = f(). = 0, u(a,0) = f(0). %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve Laplace's equation inside a 60° wedge of radius a,
1 ²u
Osrsa, 0<0s
3
+
r2 a02
:0,
%3D
r ðr l' ar
subject to the boundary conditions
u(r,0) = 0, u(r,) = 0, u(a,0) = f(0).
%3D
Transcribed Image Text:Solve Laplace's equation inside a 60° wedge of radius a, 1 ²u Osrsa, 0<0s 3 + r2 a02 :0, %3D r ðr l' ar subject to the boundary conditions u(r,0) = 0, u(r,) = 0, u(a,0) = f(0). %3D
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