Problem 1: Solve the one-dimensional heat equation ut lated metal wire of unit length with the initial temperature given by Upa for the completely insu- u(x, 0) = 6 sin?(Tx) cos² (Tx). Find the equilibrium temperature inside the wire åfter long time.

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Problem 1: Solve the one-dimensional heat equation ut = Upx for the completely insu-
lated metal wire of unit length with the initial temperature given by
u(x,0) = 6 sin?(7x) cos (Tx).
(Tx) cos² (Tx).
Find the equilibrium temperature inside the wire åfter long time.
Transcribed Image Text:Problem 1: Solve the one-dimensional heat equation ut = Upx for the completely insu- lated metal wire of unit length with the initial temperature given by u(x,0) = 6 sin?(7x) cos (Tx). (Tx) cos² (Tx). Find the equilibrium temperature inside the wire åfter long time.
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