Ans: Σ 1 sinh na Uxx + Uyy = 0, u(x,0) = 0, 0 < x < 1 u(x, 1) = 0, 0 < x < 1 u(0, y) = 0, 0 < y < 1 u(1, y) = (1/2) cos y, 0
Ans: Σ 1 sinh na Uxx + Uyy = 0, u(x,0) = 0, 0 < x < 1 u(x, 1) = 0, 0 < x < 1 u(0, y) = 0, 0 < y < 1 u(1, y) = (1/2) cos y, 0
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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Transcribed Image Text:1
n=1 sinh NT
Ans: En
Uxx + Uyy = 0,
u(x, 0) = 0,
0 < x < 1
u(x, 1) = 0,
0<x< 1
u(0, y) = 0,
0 < y < 1
u(1, y) = (1/2) cos y, 0<y<1
nπ(1 (-1)" cos 1)
n²7²-1
sinh nre sin này
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