Use the separated solutions to solve the Laplace equation. in the region 0 0 given the boundary conditions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A- Use the separated solutions to solve the Laplace equation.
in the region 0 <x1, y 0 given the boundary
conditions
(a) u =0 on x = 0 and x = 1 (y> 0)
(b) u0 as y
(c) u= sin (Tr) on y 0
%3D
(0 <x< 1)
(Note: the identity sin 0=(sin 50-5 sin 30+
10 sin 0).)
Transcribed Image Text:A- Use the separated solutions to solve the Laplace equation. in the region 0 <x1, y 0 given the boundary conditions (a) u =0 on x = 0 and x = 1 (y> 0) (b) u0 as y (c) u= sin (Tr) on y 0 %3D (0 <x< 1) (Note: the identity sin 0=(sin 50-5 sin 30+ 10 sin 0).)
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