Solved: In actually solving the given differential

Chapter 6, Problem 1E

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QUESTION:

In Problems 1 and 2 without actually solving the given differential equation, find the minimum radius of convergence of power series solutions about the ordinary point \(x=0\). About the ordinary point \(x=1\).

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

Text Transcription:

x=0

x=1

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

Questions & Answers

QUESTION:

In Problems 1 and 2 without actually solving the given differential equation, find the minimum radius of convergence of power series solutions about the ordinary point \(x=0\). About the ordinary point \(x=1\).

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

Text Transcription:

x=0

x=1

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

ANSWER:

Step 1 of 4

In this problem, we need to find the minimum radius of convergence of the power series solution about the ordinary point x = 0 and x = 1.

 

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