ди Ət 129²u дх2, 0 < x < 1, t > 0 u(0, t) = 1, u(1,t) = 4, t > 0 u(x, 0) = 8x + 8, 0 < x < 1

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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Use a calculator for any integration but you do need to show all other work. Make sure to simiplify your answers where appropriate.

7. Find the solution of the heat conduction problem

t > 0
u(0,t) = 1, u(1,t) = 4, t >
t>0
0
0<x< 1
ди
Ət
= 1202 и
20, 0<x<1,
u(x, 0) =
8x + 8,
= 8x+8,
Transcribed Image Text:t > 0 u(0,t) = 1, u(1,t) = 4, t > t>0 0 0<x< 1 ди Ət = 1202 и 20, 0<x<1, u(x, 0) = 8x + 8, = 8x+8,
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