In 1 –10 determine the singular points of the

Chapter 6, Problem 6E

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QUESTION:

In Problems 1–10 determine the singular points of the given differential equation. Classify each singular point as regular or irregular.

\(x^{2}(x-5)^{2} y^{\prime \prime}+4 x y^{\prime}+\left(x^{2}-25\right) y=0\)

Text Transcription:

x^2(x-5)^2y^prime\prime+4xy^prime+(x^2-25)y=0

Questions & Answers

QUESTION:

In Problems 1–10 determine the singular points of the given differential equation. Classify each singular point as regular or irregular.

\(x^{2}(x-5)^{2} y^{\prime \prime}+4 x y^{\prime}+\left(x^{2}-25\right) y=0\)

Text Transcription:

x^2(x-5)^2y^prime\prime+4xy^prime+(x^2-25)y=0

ANSWER:

Step 1 of 5 

In this problem we have to find the singular points of the given differential equation. And also classify each singular point as regular or irregular.

Given differential equation is

For a second order differential equation of the form

In this equation ,  and

 

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