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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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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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9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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