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
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Chapter2: Second-order Linear Odes
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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.
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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