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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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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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