Solve the differential equation 2²1 + ² (² + ³ ) v = 0 in terms of the Bessel functions by performing the transformation y=u√e, √I=z, where u(2) is the new function of the new variable z.
Solve the differential equation 2²1 + ² (² + ³ ) v = 0 in terms of the Bessel functions by performing the transformation y=u√e, √I=z, where u(2) is the new function of the new variable z.
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:Solve the differential equation
2d²y
22
dr²
3
+ ²+ ( ² + ²√ ) ₂ = 0
in terms of the Bessel functions by performing the transformation
y=u√x, √x=2,
where u(z) is the new function of the new variable z.
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