2. Consider the eigenvalue problem,y" + Ay = 0, for 0 < x < 7/2;y' (0) = 0, y(n/2) = 0.Find all eigenvalues and eigenfunctions for the case where the auxiliary equation has complex roots.

Given differential equation is y'' + λy = 0 with y'(0) = 0, y(π/2) = 0

Answered: 2. Consider the eigenvalue problem, y"…

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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2. Consider the eigenvalue problem, y" + ày = 0, for 0 < x < 1/2; y' (0) = 0, y(n/2) = 0. Find all eigenvalues and eigenfunctions for the case where the auxiliary equation has complex roots.