5. Use the separation of variables method to solve the heat equation Ut = 0 < x < 2n, t > 0 u(0, t) = u(27, t) Uz(0, t) = uz(27, t) u(x, 0) = f(x) t > 0 %3D t > 0 0

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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5. Use the separation of variables method to solve the heat equation
Ut = kuzx
u(0, t) = u(27, t)
Uz(0, t) = u„(27, t)
u(x, 0) = f(x)
0 < x < 2r, t > 0
t > 0
t > 0
0 < x < 2T
%3D
This system describes the heat evolution on a circular insulated wire of length 27.
Transcribed Image Text:5. Use the separation of variables method to solve the heat equation Ut = kuzx u(0, t) = u(27, t) Uz(0, t) = u„(27, t) u(x, 0) = f(x) 0 < x < 2r, t > 0 t > 0 t > 0 0 < x < 2T %3D This system describes the heat evolution on a circular insulated wire of length 27.
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