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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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