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1. 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 u(x,0) = 25 0

1. 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 u(x,0) = 25 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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Please help with question two.
1. 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 u(x, 0) = 25 0 < x < 40. Suppose that a² = 1. - = 2. Same as problem 1 but u(x, 0) 80 2x for 20 ≤ x ≤ 40. 2x for 0 < x < 20 and u(x, 0) =
Transcribed Image Text:1. 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 u(x, 0) = 25 0 < x < 40. Suppose that a² = 1. - = 2. Same as problem 1 but u(x, 0) 80 2x for 20 ≤ x ≤ 40. 2x for 0 < x < 20 and u(x, 0) =
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