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. (x²-9)y" + 3xy' + y = 0 a. x=0,R=√√3,x=1,R=1 b. x=0,R=2,x=1,R=3 C. x = 0, R = 3,x= 1, R=2 d. x=0, R = 3,x=1,R=3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
(x²-9)y" + 3xy' + y = 0
a.
x = 0,R=√√3,x=1,R=1
b.
x=0,R=2,x= 1,R=3
C.
x = 0, R = 3,x= 1, R=2
d.
x = 0, R = 3,x = 1, R = 3
Transcribed Image Text: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. (x²-9)y" + 3xy' + y = 0 a. x = 0,R=√√3,x=1,R=1 b. x=0,R=2,x= 1,R=3 C. x = 0, R = 3,x= 1, R=2 d. x = 0, R = 3,x = 1, R = 3
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