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Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13 b. ao(1-x². - -x6+) + a₁(x − ²x³. 24 720 5 c. aox(x + ¹x³+ 1008 5 d. ax(x-¹x³ 6 1008 + -x5 + 24 1 24 -13-1 + in in x² +) + a₁(1+x² + x²+) + a₁(1-x². x5 + 24 +1 + -18-1 24 1008 5 1008 13 720 13 720 ·x¹ + -x² + ...) +) ·x² + ...) ·x² + ...)

Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13 b. ao(1-x². - -x6+) + a₁(x − ²x³. 24 720 5 c. aox(x + ¹x³+ 1008 5 d. ax(x-¹x³ 6 1008 + -x5 + 24 1 24 -13-1 + in in x² +) + a₁(1+x² + x²+) + a₁(1-x². x5 + 24 +1 + -18-1 24 1008 5 1008 13 720 13 720 ·x¹ + -x² + ...) +) ·x² + ...) ·x² + ...)

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-²1²x³- 24 720 13 b. (1-x². - -x6+) + a₁(x − ²x³. 24 720 24 5 c. aox(x + x³ + + x² +) + a₁(1+x² + 1008 24 5 d. ax(x-x³ x²+)+a₁(1-x² 1008 24 1 24 -x5 + -13-13 + -18-1 + in in x5 + ·x² + 24 -x² + ...) 1008 5 1008 13 720 13. 720 + ...) .x² + ...) ·x² + ...)
Transcribed Image Text:Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13 b. (1-x². - -x6+) + a₁(x − ²x³. 24 720 24 5 c. aox(x + x³ + + x² +) + a₁(1+x² + 1008 24 5 d. ax(x-x³ x²+)+a₁(1-x² 1008 24 1 24 -x5 + -13-13 + -18-1 + in in x5 + ·x² + 24 -x² + ...) 1008 5 1008 13 720 13. 720 + ...) .x² + ...) ·x² + ...)
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