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Find the eigenvalues and eigenfunctions of the following differential equation y" + xy = 0, y'(0) = 0, y'(/2) = 0 sider separately the cases where A = 0, where X < 0, and where X > 0. A = 0 A = -a² <0

Find the eigenvalues and eigenfunctions of the following differential equation y" + xy = 0, y'(0) = 0, y'(/2) = 0 sider separately the cases where A = 0, where X < 0, and where X > 0. A = 0 A = -a² <0

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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0 < ₂D=Y (0)
Transcribed Image Text:0 < ₂D=Y (0)
2. Find the eigenvalues and eigenfunctions of the following differential equation y" + xy = 0, y' (0) = 0, y (π/2) = 0 Consider separately the cases where A = 0, where A<0, and where >> 0. (a) x = 0 (b) A = -a² <0
Transcribed Image Text:2. Find the eigenvalues and eigenfunctions of the following differential equation y" + xy = 0, y' (0) = 0, y (π/2) = 0 Consider separately the cases where A = 0, where A<0, and where >> 0. (a) x = 0 (b) A = -a² <0
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