00 u (0, t) 0; u(π, t ) u(x,0) = x ; ди a²u = 3 at = 0 ;t > 0 0

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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A) Solve the Heat Transmission Equation, subject to the conditions shown in the image.
0<x<п; t>0
ди
=D3
ax2
u (0,t) %3D 0; и(п,t) — 0;t> 0
и(х, 0) — х;
at
0 < x < Tt
Transcribed Image Text:0<x<п; t>0 ди =D3 ax2 u (0,t) %3D 0; и(п,t) — 0;t> 0 и(х, 0) — х; at 0 < x < Tt
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