2) Laplace equation ux (0, y) = Uxx + Uyy 0, u(7, y) = 0 u(x, 0) 0 < x <7, 0 < y < 4, 0 < y < 4, 0 0 < x < 7 u(x, 4) = COS 2 (1) 0 < x < 7.
2) Laplace equation ux (0, y) = Uxx + Uyy 0, u(7, y) = 0 u(x, 0) 0 < x <7, 0 < y < 4, 0 < y < 4, 0 0 < x < 7 u(x, 4) = COS 2 (1) 0 < x < 7.
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
using the method of separation of variables, solve the problem attached
Transcribed Image Text:2) Laplace equation
ux (0, y)
=
Uxx + Uyy
0,
u(7, y) = 0
u(x, 0)
0 < x <7, 0 < y < 4,
0 < y < 4,
0
0 < x < 7
u(x, 4)
= COS
2
(1)
0 < x < 7.
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