The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du Əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 00 0 A. a c. k 2 C. = 0, dx \t-L D. (0, t)0, | E. u(L, t) = 0, Ot\x-L du 01. OJ. 8²u Ôt²> dx\x=L du Ət \t-L 0 0 0, 0 0 0< 0 0 0 t> 0 t> 0 t> 0 = 0, 0
The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du Əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 00 0 A. a c. k 2 C. = 0, dx \t-L D. (0, t)0, | E. u(L, t) = 0, Ot\x-L du 01. OJ. 8²u Ôt²> dx\x=L du Ət \t-L 0 0 0, 0 0 0< 0 0 0 t> 0 t> 0 t> 0 = 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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Transcribed Image Text:The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by f(x).
Select the partial differential equation that can be used to model this scenario.
8²u
02:²
O B. +
8²u 8²u
dx² Ət²
2²u du
əx²
Ət
Select ALL boundary/initial conditions that apply to this scenario
A. u(x, L) = f(x), 0<x<L
du
B.
= 0, t>0
0
A. a
c. k
C.
2
01.
OJ.
Ot\x-L
du
8²u
Ôt²>
dx \t-L
D. (0, t)0, t> 0
\E.u(L,t}=0, t>0
F. u(0, t) = L, t> 0
G. u(x,0) = f(x), 0<x<L
H. (,0) = 0,
0<x<L
du
= 0,
t> 0
dx\x=L
du
Ət \t-L
0<x<L,t> 0
0, 0<x<L,t> 0
0< <L,t> 0
= 0, 0<x<L
= 0, 0<x<L
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