Find a power series solution of y" + (1+x²)y = 0 13 a. a₁(1—½x². •x² +· x6+) + a₁(x − x³ - 2x5 + 24 720 24 1008 5 1 13 1 5 b. a₁(1-x². 24 720 6+ …)+ai(x−-x3 x² + ···) + a₁(1 + ³x² + 24 1008 5 5 c. aox(x + x³ + X° + 6 24 1008 2 1 5 d. ax(x-²x³ -x5- x² + ·-) + a₁(1 − ²x². 24 1008 24 1 24 + + -x² + ...) -x² + ---) 13 x6 +...) 720 13 -x² + ...) 720
Find a power series solution of y" + (1+x²)y = 0 13 a. a₁(1—½x². •x² +· x6+) + a₁(x − x³ - 2x5 + 24 720 24 1008 5 1 13 1 5 b. a₁(1-x². 24 720 6+ …)+ai(x−-x3 x² + ···) + a₁(1 + ³x² + 24 1008 5 5 c. aox(x + x³ + X° + 6 24 1008 2 1 5 d. ax(x-²x³ -x5- x² + ·-) + a₁(1 − ²x². 24 1008 24 1 24 + + -x² + ...) -x² + ---) 13 x6 +...) 720 13 -x² + ...) 720
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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Transcribed Image Text:7. Find a power series solution of y" + (1+x²)y = 0
1..2
13
a. ao(1->
x6 +-) + a₁(x-²x³
24
720
24
1
13
1
b. ao(1-x²-
x6 + ...) + a₁(x − ¹⁄x³.
24
720
24
5
c. aox(x + ·x² +
=x² + ···) + a₁(1 + x² +;
6
1008
2
24
5
1
d. aox(x-
=x² + ···) + a₁(1 − ²x².
1008
24
24
1
24
+
+
+
5
1008
5
1008
-x² + ...)
-x² + ...)
13
720
13
720
-x² + ...)
-x² + ...)
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