Solve the heat equation 1 Ut = Upr + -Ur + 0, 0 0, -0 <0 < oo.
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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Transcribed Image Text:Solve the heat equation
1
Ut = Urr + -Ur +
1
zug0 = 0, 0 <r< a, t > 0, -0 < 0 < o0.
%3|
и (г,0,0) %3D f (r,ө), и(а,0,t) — 0, и (г,0,t) %— и (r,ө + 2т, t)
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