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и — 100и,ди — 0, 0<х<1, t> 0, - u(0, t) = 0, u(1, t) = 0, t> 0, u (х, 0) — sin(2mа) — sin (5та), 0

и — 100и,ди — 0, 0<х<1, t> 0, - u(0, t) = 0, u(1, t) = 0, t> 0, u (х, 0) — sin(2mа) — sin (5та), 0

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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Find the solution to the heat conduction problem. Show all the work: separation of variable, finding the eigenvalues, finding the eigenfunctions, and so on.

и — 100и,ди — 0, 0<х<1, t> 0, - u(0, t) = 0, u(1, t) = 0, t> 0, u (х, 0) — sin(2mа) — sin (5та), 0<T<1.
Transcribed Image Text:и — 100и,ди — 0, 0<х<1, t> 0, - u(0, t) = 0, u(1, t) = 0, t> 0, u (х, 0) — sin(2mа) — sin (5та), 0<T<1.
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