Find at least the first four nonzero terms in a power

Chapter 8, Problem 3RP

(choose chapter or problem)

Find at least the first four nonzero terms in a power series expansion about $x=0$ for a general solution to the given equation.

(a) $y^{\prime \prime}+x^{2} y^{\prime}-2 y=0$

(b) $y^{\prime \prime}+e^{-x} y^{\prime}-y=0$

Equation Transcription:

$x=0$

$y''+{x}^{2}y'-2y=0$

$y''+{e}^{-x}y'-y=0$

Text Transcription:

x=0

y''+x2y'-2y=0

y''+e-xy'-y=0

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