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 + ...)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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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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