Establish the (Green's function) identity, COS 2 cos (nux) cos (nity) n²π² n=1 = 1¸ x² −x+y² −y−|x−y| + 3 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Establish the (Green's function) identity,
cos (nπx) cos (nπyY)
n²π²
∞
2Σ
n=1
=
1¸ x² −x+y² −y-|x-y|
+
3
2
Transcribed Image Text:Establish the (Green's function) identity, cos (nπx) cos (nπyY) n²π² ∞ 2Σ n=1 = 1¸ x² −x+y² −y-|x-y| + 3 2
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