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Question 3. 1) The temperature u(x, t) of a narrow metal rod of length L = π is modelled by the heat equation: Ut = 4uxx. Solve the equation if the initial temperature u(x,0) = 3 + 2 cos x - cos(3x), and the ends of the rod are insulated: ux(0, t) = ux(π, t) = 0, t > 0.

Question 3. 1) The temperature u(x, t) of a narrow metal rod of length L = π is modelled by the heat equation: Ut = 4uxx. Solve the equation if the initial temperature u(x,0) = 3 + 2 cos x - cos(3x), and the ends of the rod are insulated: ux(0, t) = ux(π, t) = 0, t > 0.

Advanced Engineering Mathematics
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 3. 1) The temperature u(x, t) of a narrow metal rod of length L = π is modelled by the heat equation: Ut = 4uxx. Solve the equation if the initial temperature u(x,0) = 3 + 2 cos x − cos(3x), and the ends of the rod are insulated: ux(0, t) = ux(π, t) = 0, t > 0.
Transcribed Image Text:Question 3. 1) The temperature u(x, t) of a narrow metal rod of length L = π is modelled by the heat equation: Ut = 4uxx. Solve the equation if the initial temperature u(x,0) = 3 + 2 cos x − cos(3x), and the ends of the rod are insulated: ux(0, t) = ux(π, t) = 0, t > 0.
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