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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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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