Determine the solution of u(x,v) of the Laplace equation uxx + Uyy = 0 subject to the following boundary conditions и, (0, у) %3D 0, и, (х, 0) %3D 0, и,(2, у) %3 У(3 — у), и (х, 3) 3D 0, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine the solution of u(x,y) of the Laplace equation ???+???=0 subject to the following boundary conditions ??(0,?)=0,??(2,?)=?(3−?),0≤?≤3 ??(?,0)=0,?(?,3)=0,0≤?≤2.

 

Determine the solution of u(x,v) of the Laplace equation uxx + Uyy = 0 subject to the following boundary
conditions
Uz(0, y) = 0,
Uy(x, 0) = 0,
u,(2, у) %3 У(3 — у),
и (х, 3) 3 0,
0 < y< 3
0 < x < 2.
Transcribed Image Text:Determine the solution of u(x,v) of the Laplace equation uxx + Uyy = 0 subject to the following boundary conditions Uz(0, y) = 0, Uy(x, 0) = 0, u,(2, у) %3 У(3 — у), и (х, 3) 3 0, 0 < y< 3 0 < x < 2.
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