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Consider the Sturm-Liouville problem: y" + Ay (-L) 0, -L

Consider the Sturm-Liouville problem: y" + Ay (-L) 0, -L

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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Consider the Sturm-Liouville problem: \[ y'' + \lambda y = 0, \quad -L \leq x \leq L \] \[ y'(-L) = y'(L) = 0. \] Note that the interval is \([-L, L]\) and NOT \([0, L]\). Find all eigenvalues and eigenfunctions of this problem.
Transcribed Image Text:Consider the Sturm-Liouville problem: \[ y'' + \lambda y = 0, \quad -L \leq x \leq L \] \[ y'(-L) = y'(L) = 0. \] Note that the interval is \([-L, L]\) and NOT \([0, L]\). Find all eigenvalues and eigenfunctions of this problem.
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