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
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 38CT
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Please help with question two.
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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