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)

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,