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Find a power series solution of y" + (1+x²)y=0 13 5 + a. ao(1-x². √x6+)+ a₁(x-²x³- -x² +) - 24 720 24 1008 5 13 b. ao(1-x² 5x6+) + a₁(x-x³- -x² + ...) 24 720 24 1008 c. aox(x + x³ + x² +1008x²+) + a₁(1+x² + 2 = x² + 720 x² + ...) 1,3 5 1,,2 13 61 ...) x(x "* "* -|-

Find a power series solution of y" + (1+x²)y=0 13 5 + a. ao(1-x². √x6+)+ a₁(x-²x³- -x² +) - 24 720 24 1008 5 13 b. ao(1-x² 5x6+) + a₁(x-x³- -x² + ...) 24 720 24 1008 c. aox(x + x³ + x² +1008x²+) + a₁(1+x² + 2 = x² + 720 x² + ...) 1,3 5 1,,2 13 61 ...) x(x "* "* -|-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - √x² + ...) + a₁(x - ²1x²³. 720 13 b. ao(1-x²x4 x6+)+ a₁(x-²x³. - 720 5 c. aox(x + x³ + x ·x³ + x² +) + a₁(1 + x² + 24 1008 5 d. ax(x-x³x5. + x²+) + 6 24 1008 5 1008 5 1008 24 ·x +: -x² + ...) -x² + ...) 13. 720 13 720 -x² + ...) -X6 + ...)
Transcribed Image Text:Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - √x² + ...) + a₁(x - ²1x²³. 720 13 b. ao(1-x²x4 x6+)+ a₁(x-²x³. - 720 5 c. aox(x + x³ + x ·x³ + x² +) + a₁(1 + x² + 24 1008 5 d. ax(x-x³x5. + x²+) + 6 24 1008 5 1008 5 1008 24 ·x +: -x² + ...) -x² + ...) 13. 720 13 720 -x² + ...) -X6 + ...)
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