Consider the following ODEs. State whether 0 is an ordinary point, a regular singular point or a (non-regular) singular point. i. y" + y' cos(x) + cos(x) y = 0, X ii. y" + y' sin(x) + 1-cos(x) y x² = 0.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following ODEs. State whether 0 is an ordinary point, a regular
singular point or a (non-regular) singular point.
i. y" +
y' cos(x)
+ cos(x) y = 0,
X
ii. y" + y' sin(x) +
Justify your answers!
1-cos(x)y = 0.
x²
Transcribed Image Text:Consider the following ODEs. State whether 0 is an ordinary point, a regular singular point or a (non-regular) singular point. i. y" + y' cos(x) + cos(x) y = 0, X ii. y" + y' sin(x) + Justify your answers! 1-cos(x)y = 0. x²
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