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Heat equation with ends kept at zero temperature (reference section 12.5 Kreyszig's book) Let's take the eigenfunctions of the heat equation Un (x, t) = Fn(x)G„(t) Bn sin NTTX e-1t (n = 1, 2, -..) %3D %3D спп If the first eigenfunction of the bar decreases to half its value within 10 sec, what numerical values should A and B be, in the diffusivity term c? 2 = 0.00A0BL? Note: A and B are integers from 0 to 9. Your answer should be: A,B (no space, only a comma) Answer: 7.2

Heat equation with ends kept at zero temperature (reference section 12.5 Kreyszig's book) Let's take the eigenfunctions of the heat equation Un (x, t) = Fn(x)G„(t) Bn sin NTTX e-1t (n = 1, 2, -..) %3D %3D спп If the first eigenfunction of the bar decreases to half its value within 10 sec, what numerical values should A and B be, in the diffusivity term c? 2 = 0.00A0BL? Note: A and B are integers from 0 to 9. Your answer should be: A,B (no space, only a comma) Answer: 7.2

Advanced Engineering Mathematics
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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Heat equation with ends kept at zero temperature (reference section 12.5 Kreyszig's book) Let's take the eigenfunctions of the heat equation NTTX eit L Un (x, t) = Fn(x)G„(t) = Bn sin (n = 1, 2, ·..) %3D %3D CNTT %3D If the first eigenfunction of the bar decreases to half its value within 10 sec, what numerical values should A and B be, in the diffusivity term c?? 2 = 0.00A0BL? Note: A and B are integers from 0 to 9. Your answer should be: A,B (no space, only a comma) Answer: 7,2
Transcribed Image Text:Heat equation with ends kept at zero temperature (reference section 12.5 Kreyszig's book) Let's take the eigenfunctions of the heat equation NTTX eit L Un (x, t) = Fn(x)G„(t) = Bn sin (n = 1, 2, ·..) %3D %3D CNTT %3D If the first eigenfunction of the bar decreases to half its value within 10 sec, what numerical values should A and B be, in the diffusivity term c?? 2 = 0.00A0BL? Note: A and B are integers from 0 to 9. Your answer should be: A,B (no space, only a comma) Answer: 7,2
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