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37 The differential equation z²y" + zy' +(2²z² -²)y=0, y=y(z) is called Bessel's equation of order with parameter 2. Show that using the transformation x = Az, this equation can be transformed into a Bessel's equation of order μ.

37 The differential equation z²y" + zy' +(2²z² -²)y=0, y=y(z) is called Bessel's equation of order with parameter 2. Show that using the transformation x = Az, this equation can be transformed into a Bessel's equation of order μ.

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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37 The differential equation z²y" + zy' +(2²z² -²)y=0, y=y(z) is called Bessel's equation of order with parameter A. Show that using the transformation x = Az, this equation can be transformed into a Bessel's equation of order μ.
Transcribed Image Text:37 The differential equation z²y" + zy' +(2²z² -²)y=0, y=y(z) is called Bessel's equation of order with parameter A. Show that using the transformation x = Az, this equation can be transformed into a Bessel's equation of order μ.
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