d²T dx² +0.02(20-7(x)) = 0; 7(0) = 10, T(6)= 70
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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Transcribed Image Text:2. Consider a rod of length 6 m, uninsulated along the length but in steady state. Suppose
the air temperature is T₁ = 20, the heat transfer coefficient h' = 0.02 and the boundary
conditions are 7(0) = 10 and 7(6)= 70 so that the temperature is given by
d²T
dx² +0.02 (20-T(x)) = 0; 7(0) = 10,
T(6) = 70
Using a step-size of h = 2, and the shooting method to approximate T(x) for x = 2 and 4
m.
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