Answered: Problem 4: The two dimensional…

Problem 4: The two dimensional Laplace's equation is governed by the following boundary value problem Uz(x, y) + Uyy(x,y) = 0,0< x,y

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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Question

Problem 4: The two dimensional Laplace's equation is governed by the following boundary
value problem
Ux (x, y) + Uyy(x, y) = 0,0 < x,y< n,
(1)
BCs u(0, y) = sinh(x) sin(y), u(r, y) = 0,
(2)
u(x,0) = 0, u(x,1) = 0.
(3)
%3D

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