Consider the eigenvalue/boundary value problem for y(x), -2≤ x ≤ 0: 4y" + (+16)y = 0, y (−2) = 0, y'(0) = 0 = (a) Is 32 an eigenvalue? If it is, calculate the corresponding eigenfunctions. (b) Is 16 an eigenvalue? If it is, calculate the corresponding eigenfunctions. (c) Determine all non-negative eigenvalues, > > 0, and calculate the corresponding eigen- functions.
Consider the eigenvalue/boundary value problem for y(x), -2≤ x ≤ 0: 4y" + (+16)y = 0, y (−2) = 0, y'(0) = 0 = (a) Is 32 an eigenvalue? If it is, calculate the corresponding eigenfunctions. (b) Is 16 an eigenvalue? If it is, calculate the corresponding eigenfunctions. (c) Determine all non-negative eigenvalues, > > 0, and calculate the corresponding eigen- functions.
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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Transcribed Image Text:Consider the eigenvalue/boundary value problem for y(x), -2≤ x ≤ 0:
4y" + (+16)y = 0, y (−2) = 0, y'(0) = 0
=
(a) Is 32 an eigenvalue? If it is, calculate the corresponding eigenfunctions.
(b) Is 16 an eigenvalue? If it is, calculate the corresponding eigenfunctions.
(c) Determine all non-negative eigenvalues, > > 0, and calculate the corresponding eigen-
functions.
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