Carry out the substitution x = sin 0 in the Taylor series 1.3.5..(2n - 1) x2n+1 arcsin x = x + 2 2.4.6..(2n) 2n +1 n=1 valid for |x| < 1 and use the formula • 7/2 2.4. (2n) 2n+ 0 de = ... 3.5.. (2n + 1)'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Carry out the substitution x = sin 0 in the Taylor series
1.3.5...(2n – 1) x2n+1
arcsin x = x + ).
2.4.6..(2n)
2n + 1
n=1
valid for |x| < 1 and use the formula
7/2
2.4..(2n)
sin?n+!0 de
0/
3.5..(2n + 1)
Transcribed Image Text:Carry out the substitution x = sin 0 in the Taylor series 1.3.5...(2n – 1) x2n+1 arcsin x = x + ). 2.4.6..(2n) 2n + 1 n=1 valid for |x| < 1 and use the formula 7/2 2.4..(2n) sin?n+!0 de 0/ 3.5..(2n + 1)
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