Consider: (PDE) Pu Ju +2- +u=2² at 01² 20²u 81² (0, f) = 0. (BC1) ди ər du (BC2) ər Classify all product solutions of the form u(z,t) = X(z)T(t) #0 satisfying (PDE)-(BCT)-(BC2) (a,t) = 0. 00, t> 0. t>0.
Consider: (PDE) Pu Ju +2- +u=2² at 01² 20²u 81² (0, f) = 0. (BC1) ди ər du (BC2) ər Classify all product solutions of the form u(z,t) = X(z)T(t) #0 satisfying (PDE)-(BCT)-(BC2) (a,t) = 0. 00, t> 0. t>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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Transcribed Image Text:Consider:
(PDE)
Pu Ju
01²
du
+2- +u=c²².
Ot
(0, f) = 0.
Pu
81²
(BC1)
ər
du
(BC2)
ər
Classify all product solutions of the form u(z.t) = X(z)T(t) #0 satisfying (PDE)-(BCT)-(BC2).
(a,t) = 0,
0<x<at>0
t> 0.
t> 0.
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