Ut = 9Uxx, u(0, 1) = 0, t) u(x,0) = 1, 0 0, u(4,1)= 0, t > 0, t) 0≤x≤ 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the heat equation
Ut = 9Uxx,
u(0, 1) = 0,
u(x,0) = 1,
0<x<4,
t> 0,
u(4,1)= 0, t > 0,
0≤x≤4
Transcribed Image Text:Ut = 9Uxx, u(0, 1) = 0, u(x,0) = 1, 0<x<4, t> 0, u(4,1)= 0, t > 0, 0≤x≤4
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