Question 5- Solve the heat conduction equation in the bar with insulated ends shown below [apply MOSOV, consider 3 cases for o and apply Fourier Series to find u(x,t) ]. a', =, u, (0.t) = , (L,t) 0 u(x,0) = 1(x) ulx, t) r=0 x=L Find the temperature a(x.1) in a metal rod of length L = 25 cm that is insulated on both ends and whose initial temperature distribution is w(x,0) = 1(x) = x.
Question 5- Solve the heat conduction equation in the bar with insulated ends shown below [apply MOSOV, consider 3 cases for o and apply Fourier Series to find u(x,t) ]. a', =, u, (0.t) = , (L,t) 0 u(x,0) = 1(x) ulx, t) r=0 x=L Find the temperature a(x.1) in a metal rod of length L = 25 cm that is insulated on both ends and whose initial temperature distribution is w(x,0) = 1(x) = x.
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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![Question 5 - Solve the heat conduction equation in the bar with insulated ends shown below
[apply MOSOV, cousider 3 cases for o and apply Fourier Series to find u(x.) ].
a*N = ,
4, (0,1) = w, (L.t) = 0
u(x,0) = 1(x)
ulx, t)
*= 0
x=L
Find the temperature (x,1) in a metal rod of length L = 25 cm that is insulated on both ends
and whose initial temperature distribution is ux,0) = 1(x) = x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7d784b1-1a07-4a6b-97f5-0c4ca0aa0792%2Fba1aaee3-ce17-46ae-ae5f-7e5b98731a4f%2Fb714fhg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5 - Solve the heat conduction equation in the bar with insulated ends shown below
[apply MOSOV, cousider 3 cases for o and apply Fourier Series to find u(x.) ].
a*N = ,
4, (0,1) = w, (L.t) = 0
u(x,0) = 1(x)
ulx, t)
*= 0
x=L
Find the temperature (x,1) in a metal rod of length L = 25 cm that is insulated on both ends
and whose initial temperature distribution is ux,0) = 1(x) = x.
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