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Find the Product Solution of the PDE Uxx=U ; U=U(X₂Y)

Find the Product Solution of the PDE Uxx=U ; U=U(X₂Y)

Advanced Engineering Mathematics
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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Find the Product Solution of the PDE Uxx=U; U=U1(x+y) Seperate the PDE into System of ODES Uxx=Ut-U; U = U(X₁t)
Transcribed Image Text:Find the Product Solution of the PDE Uxx=U; U=U1(x+y) Seperate the PDE into System of ODES Uxx=Ut-U; U = U(X₁t)
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