(More in the next problem set.) Verify by substitution

Chapter 2, Problem 2.1.4

(choose chapter or problem)

Reduce to first order and solve (showing each step in detail).

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

Text Transcription:

(1-x^2)y’’-2xy’+2y=0, y_1=x

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