Without actually solving the given differential equation, find the maximum radius of convergence R of power series solutions about the ordinary point x = 0. About the ordinary point x = 1. (x²-25)y" +6xy' + y = 0 x=0,R=5,x=1,R=6 x=0,R=5,x=1,R=5 a. b. c. x=0,R=5,x= 1, R=4 C. d. x=0,R=25,x=1,R=4

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Without actually solving the given differential equation, find the
maximum radius of convergence R of power series solutions about
the ordinary point x = 0. About the ordinary point x = 1.
(x²-25)y" +6xy' + y = 0
a.
x = 0, R = 5,x=1,R=6
b.
x=0,R=5,x= 1,R=5
C.
c. x = 0,R=5,x= 1, R=4
d.
x = 0,R=25,x= 1, R = 4
Transcribed Image Text:Without actually solving the given differential equation, find the maximum radius of convergence R of power series solutions about the ordinary point x = 0. About the ordinary point x = 1. (x²-25)y" +6xy' + y = 0 a. x = 0, R = 5,x=1,R=6 b. x=0,R=5,x= 1,R=5 C. c. x = 0,R=5,x= 1, R=4 d. x = 0,R=25,x= 1, R = 4
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