The Maclaurin series of sin.x is given by r x7 + 5! 7! sinx 1! 3! Use the above expansion to check if x =0 is an ordinary or a singular point of the differential equation ху + (sinx)у %3 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b)
The Maclaurin series of sinx is given by
x x r x7
+
1! 3!' 5!
sinx =
+..
7!
Use the above expansion to check if x = 0 is an ordinary or a singular point of
the differential equation
xy + (sinx)y = 0.
Transcribed Image Text:(b) The Maclaurin series of sinx is given by x x r x7 + 1! 3!' 5! sinx = +.. 7! Use the above expansion to check if x = 0 is an ordinary or a singular point of the differential equation xy + (sinx)y = 0.
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