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Find the first three terms of the power series solution to y''+xy=0, about x=1. I know what I need to do, I'm just stuck on how to multiply x through the sum of an(x-1)^n. I appreciate any help!

Andrew Wood
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1 Answers1

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$$y''+xy=y''+(x-1+1)y=y''+(x-1)y+y.$$ Now expand each term and factor in the $(x-1)$ normally.

Plutoro
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