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4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all t> 0. Find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that a² = 10. u(x, 0) = 0 0 < x < 10 50 10 < x < 30 0 30

4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all t> 0. Find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that a² = 10. u(x, 0) = 0 0 < x < 10 50 10 < x < 30 0 30

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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4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all t> 0. Find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that a² = 10. u(x, 0) = 0 0 < x < 10 50 10 < x < 30 0 30 < x < 40
Transcribed Image Text:4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all t> 0. Find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that a² = 10. u(x, 0) = 0 0 < x < 10 50 10 < x < 30 0 30 < x < 40
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