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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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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