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The temperature in a semi-infinite solid is modeled by the boundary-value problem k 02 u

Advanced Engineering Mathematics | 6th Edition | ISBN: 9781284105902 | Authors: Dennis G. Zill ISBN: 9781284105902 342

Solution for problem 29 Chapter 15.2

Advanced Engineering Mathematics | 6th Edition

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Advanced Engineering Mathematics | 6th Edition | ISBN: 9781284105902 | Authors: Dennis G. Zill

Advanced Engineering Mathematics | 6th Edition

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Problem 29

The temperature in a semi-infinite solid is modeled by the boundary-value problem k 02 u 0x2 0u 0t , x . 0, t . 0 u(0, t) u0, lim xSq u(x, t) 0, t . 0 u(x, 0) 0, x . 0 Solve for u(x, t). Use the solution to determine analytically the value of limtSq u(x, t), x . 0.

Step-by-Step Solution:
Step 1 of 3

I c 4tY'=- s-s( n _^i - \11/ /Jl C -.- 9X =t T rr! \N {l' ' t^fl ---T--'-:ral...

Step 2 of 3

Chapter 15.2, Problem 29 is Solved
Step 3 of 3

Textbook: Advanced Engineering Mathematics
Edition: 6
Author: Dennis G. Zill
ISBN: 9781284105902

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The temperature in a semi-infinite solid is modeled by the boundary-value problem k 02 u

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