2. The functions o(x, y, e) and X(e) satisfy the eigenvalue problem xx + Øyy + x = 0 subject to in (0) 0≤x≤ π, 0+ €x(π − x) ≤ y ≤π p=0 Find the first order correction to the eigenpair on the boundary. = sin x sin y 10. = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. The functions o(x, y, e) and A(e) satisfy the eigenvalue problem
Pxx + Øyy + A¢ = 0
in
0 < x < T, 0+ ex(T – x) < y < T
subject to
$ = 0
on the boundary.
Find the first order correction to the eigenpair
60 = sin x sin y
10 = 2
Transcribed Image Text:2. The functions o(x, y, e) and A(e) satisfy the eigenvalue problem Pxx + Øyy + A¢ = 0 in 0 < x < T, 0+ ex(T – x) < y < T subject to $ = 0 on the boundary. Find the first order correction to the eigenpair 60 = sin x sin y 10 = 2
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