1. Express the general solution of the given differential equation on the interval (0, 0) in terms of Bessel functions: (a) 4a?y" + 4xy' + (64x2 – 9)y = 0 (b) x²y" + xy' – (36x² + 9)y = 0
1. Express the general solution of the given differential equation on the interval (0, 0) in terms of Bessel functions: (a) 4a?y" + 4xy' + (64x2 – 9)y = 0 (b) x²y" + xy' – (36x² + 9)y = 0
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:1. Express the general solution of the given differential equation on the interval (0, 0) in terms
of Bessel functions:
(a) 4x²y" + 4xy' + (64x² – 9)y = 0
(b) x²y" + xy' – (36x2 + 9)y = 0
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