Find the solution to the heat conduction problem. Show all the work: separation of variable, finding theeigenvalues, finding the eigenfunctions, and so on.u₁ - 100u.xx = 0,0 0,u(1, t) = 0, t> 0,u(0, t) = 0,u(x,0) = sin(2x)-sin(57x), 0≤x≤1.

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Answered: Find the solution to the heat…

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. u₁ - 100u.xx = 0, 0 0, u(1, t) = 0, t> 0, u(0, t) = 0, u(x,0) = sin(2x)-sin(57x), 0≤x≤1.