12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) = 400 + sin x, 0
12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) = 400 + sin x, 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:12. Solve the boundary-value problem
du
0<x<7, 1 > 0
at
+ sin x =
ax
u(0, t) 400, u(7, f) = 200, r>0
u(x, 0) = 400 + sin x, 0<I<7.
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