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Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point  x = 0.  About the ordinary point  x = 1. (x2 − 25)y'' + 8xy' + y = 0 R=                (x=0)   R=                 (x=1)

Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point  x = 0.  About the ordinary point  x = 1. (x2 − 25)y'' + 8xy' + y = 0 R=                (x=0)   R=                 (x=1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point 

x = 0.

 About the ordinary point 

x = 1.
(x2 − 25)y'' + 8xy' + y = 0
R=                (x=0)
 
R=                 (x=1)
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