4. 16x y" + 16xy' + (16x² - 1)y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6.3.1 BESSEL'S EQUATION
In Problems 1-6 use (1) to find the general solution of the
given differential equation on (0, 0).
1. xy" + xy' + ( - )y = 0
2. x²y" + xy' + (x² – 1)y = 0
3. 4xy" + 4xy' + (4x- 25)y = 0
4. 16xy" + 16ry' + (16x²- 1)y = 0
5. xy" +y' + ry = 0
6.
Transcribed Image Text:6.3.1 BESSEL'S EQUATION In Problems 1-6 use (1) to find the general solution of the given differential equation on (0, 0). 1. xy" + xy' + ( - )y = 0 2. x²y" + xy' + (x² – 1)y = 0 3. 4xy" + 4xy' + (4x- 25)y = 0 4. 16xy" + 16ry' + (16x²- 1)y = 0 5. xy" +y' + ry = 0 6.
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