Separation of Variables Use separation of variables on the following partial differential equations: Uzz = 0 u(r, 0) = 1, u(r,0) = 0 u(0, t) = 0, u(7, t) = 0 0 0 0 < < T t20 Utt (a) %3D
Separation of Variables Use separation of variables on the following partial differential equations: Uzz = 0 u(r, 0) = 1, u(r,0) = 0 u(0, t) = 0, u(7, t) = 0 0 0 0 < < T t20 Utt (a) %3D
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:Separation of Variables
Use separation of variables on the following partial differential equations:
Uzz =0
u(1, 0) %3D 1, и(т,0)3D0
u(0, t) = 0, u(7, t) = 0
0 <r< T, t > 0
0 < I <T
t20
Utt -
(a)
Uu + 3ut + u = Ura
u(r, 0) = 0, u,(r,0) = r sin(2xx)
u(0, t) = 0, u(1, t) = 0
0 <r <1
(b)
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