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A rod has a temperature distribution according to function f(x) on it initially. The boundary conditions for temperature is as follows:, du - (0,t) = 0 and -(2,t)=0, u(x,0) =f(x), 0

A rod has a temperature distribution according to function f(x) on it initially. The boundary conditions for temperature is as follows:, du - (0,t) = 0 and -(2,t)=0, u(x,0) =f(x), 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 rod has a temperature distribution according to function f(x) on it initially. The boundary conditions for temperature is as follows:, du (0,t) = 0 and (2,t)=0, u(x,0) =f(x), 0<x<2. du dx dx Where f(x) =2+ 10cos (3x) 0<x<2 Calculate the temperature distribution at this plate. The heat equation on this rod d²u is dx 2 du dt
Transcribed Image Text:A rod has a temperature distribution according to function f(x) on it initially. The boundary conditions for temperature is as follows:, du (0,t) = 0 and (2,t)=0, u(x,0) =f(x), 0<x<2. du dx dx Where f(x) =2+ 10cos (3x) 0<x<2 Calculate the temperature distribution at this plate. The heat equation on this rod d²u is dx 2 du dt
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