Find a general solution about x = 0 for the equation by

Chapter 8, Problem 36E

(choose chapter or problem)

Find a general solution about \(x=0\) for the equation

\(\left(1-x^{2}\right) y^{\prime \prime}-2 x y^{\prime}+2 y=0\)

by first finding a polynomial solution and then using the reduction of order formula given in Exercises 6.1, Problem 31 to find a second (series) solution.

Equation Transcription:

Text Transcription:

x=0

(1-x2)y''-2xy'+2y=0

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