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Suppose that L = 27, a = 1, and the initial temperature distribution is f(x) = 27 - x for 0

Suppose that L = 27, a = 1, and the initial temperature distribution is f(x) = 27 - x for 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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A computer algebra system is recommended. Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0sxS L. Assume that the temperature at the end x = 0 is held at 0°C, while the end x = L is insulated so that no heat passes through it. Suppose that L = 27, a? = 1, and the initial temperature distribution is f(x) = 27 - x for 0 < x < 27. (a) Find the temperature u(x, t).
Transcribed Image Text:A computer algebra system is recommended. Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0sxS L. Assume that the temperature at the end x = 0 is held at 0°C, while the end x = L is insulated so that no heat passes through it. Suppose that L = 27, a? = 1, and the initial temperature distribution is f(x) = 27 - x for 0 < x < 27. (a) Find the temperature u(x, t).
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