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Is x = 0 an ordinary or a singular point of the
Chapter 6, Problem 27E(choose chapter or problem)
QUESTION:
Is x = 0 an ordinary or a singular point of the differential equation \(x y^{\prime \prime}+(\sin x) y=0\)? Defend your answer with sound mathematics. [Hint: Use the Maclaurin series of and then examine (sin sin x)/x.
Text Transcription:
x y^prime\prime+(sinx)y=0
Questions & Answers
QUESTION:
Is x = 0 an ordinary or a singular point of the differential equation \(x y^{\prime \prime}+(\sin x) y=0\)? Defend your answer with sound mathematics. [Hint: Use the Maclaurin series of and then examine (sin sin x)/x.
Text Transcription:
x y^prime\prime+(sinx)y=0
ANSWER:Step 1 of 4
In this problem we need to verify that is x =0 is an ordinary or a singular point of the differential equation