Solve the boundary value problem. Ut uxx ux (0, t) = ux (9, t) = 0 if t> 0 u (x,0) = 7 u (x, t) = if 0 0 + if 0≤x≤9

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 boundary value problem.
{
Ut = Uxx
ux (0, t) = ux (9, t)
Ux (9, t) = 0
u (x,0) = 7
u (x, t)
=
ㄷ
+
Σ
n=1
if 0<x< 9 and t > 0
if t > 0
if 0 < x < 9
Transcribed Image Text:Solve the boundary value problem. { Ut = Uxx ux (0, t) = ux (9, t) Ux (9, t) = 0 u (x,0) = 7 u (x, t) = ㄷ + Σ n=1 if 0<x< 9 and t > 0 if t > 0 if 0 < x < 9
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