Consider the Bessel's equation of order : x?y" + xy + (x? -)y = 0. Show that the recurrence relation is given by the formula An-2 1' (r + n)² – an n2 2. | 4 Hint: Use the method of Frobenius and start with w(r,x) = E-o anx"+r

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 42EQ
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Consider the Bessel's equation of order :
x?y" + xy + (x? -)y =
0.
Show that the recurrence relation is given by the formula
An-2
1'
(r + n)² –
an
n2 2.
|
4
Hint: Use the method of Frobenius and start with w(r,x) = E-, anxn+r
Transcribed Image Text:Consider the Bessel's equation of order : x?y" + xy + (x? -)y = 0. Show that the recurrence relation is given by the formula An-2 1' (r + n)² – an n2 2. | 4 Hint: Use the method of Frobenius and start with w(r,x) = E-, anxn+r
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