The heat flow problem is given by the equations below. Find the formal solution to this problem with B=5 and L= au 2 ax u(0,t) = u(L,t) = 0 du at =B- 00 t> 0 u(x,t) = (Type an exact answer in terms of e.) u(x,0) = f(x) 0
The heat flow problem is given by the equations below. Find the formal solution to this problem with B=5 and L= au 2 ax u(0,t) = u(L,t) = 0 du at =B- 00 t> 0 u(x,t) = (Type an exact answer in terms of e.) u(x,0) = f(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:The heat flow problem is given by the equations below. Find the formal solution to this problem with B=5 and L=
1
1
if f(x) = [ sin 2nxx.
2
n=1 n
au
2
ax
u(0,t) = u(L,t)=0
du
at
= B-
0<x<L, t>0
t> 0
u(x,t) =
(Type an exact answer in terms of e.)
u(x,0) = f(x)
0<x<L
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