Which of the following is a solution of the following equation valid near the origin for x>0? x²y' + x(2 + 3x)y'- 2y=0 (-1)^-23n-3xn-2 £ n = 4 y= x+ (2n)! * 2(-1)"-33n-2 xn-2 y=x+ E n= 4 n! O y=x-2- 3x-1 +9 O y=x-2+3x-1+9

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 10MRE
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Which of the following is a solution of the following equation valid near the origin for x>0?
х2у" + x(2 + 3х)у-2у%3D0
y=x+ E
n = 4
(-1)"-23n-3xn-2
(2n)!
2(-1)" -33n-2xn-2
y=x+ £
n = 4
n!
О у-х-2-3х-1 +9
O y= x-2+3x-1 +9
Transcribed Image Text:Which of the following is a solution of the following equation valid near the origin for x>0? х2у" + x(2 + 3х)у-2у%3D0 y=x+ E n = 4 (-1)"-23n-3xn-2 (2n)! 2(-1)" -33n-2xn-2 y=x+ £ n = 4 n! О у-х-2-3х-1 +9 O y= x-2+3x-1 +9
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