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?u a u Ət ат2 for 00 u(0,t) = Ti, u(L,t) = Tz for t>0 u(x,0) = Ti for 0

?u a u Ət ат2 for 00 u(0,t) = Ti, u(L,t) = Tz for t>0 u(x,0) = Ti for 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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2. Solve the following initial value problem. J²u ər² du Ət = k · for 0<x<L, t>0 u(0, t) = T₁, u(L, t) = T₂ u(x,0) = T₁ for for t>0 0<x<L (2) (3) (4)
Transcribed Image Text:2. Solve the following initial value problem. J²u ər² du Ət = k · for 0<x<L, t>0 u(0, t) = T₁, u(L, t) = T₂ u(x,0) = T₁ for for t>0 0<x<L (2) (3) (4)
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