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Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x, y,t) = (t) (x) 5 (y) U₁ - Au=0 u(x, y, 1) = 0 (x,y)ΕΩ_t> 0 (x,y) €9Ω_t> 0

Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x, y,t) = (t) (x) 5 (y) U₁ - Au=0 u(x, y, 1) = 0 (x,y)ΕΩ_t> 0 (x,y) €9Ω_t> 0

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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Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x, y,t) = (t) (x) 5 (y) U₁ - Au=0 u(x, y, 1) = 0 (x,y)ΕΩ_t> 0 (x,y) €9Ω_t> 0
Transcribed Image Text:Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x, y,t) = (t) (x) 5 (y) U₁ - Au=0 u(x, y, 1) = 0 (x,y)ΕΩ_t> 0 (x,y) €9Ω_t> 0
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