Using power series to solve a differential equation

[sai2020]

Homework Statement

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Homework Equations

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The Attempt at a Solution

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[Mystic998]

Well, it looks like you're trying to find the power series of ln(5 - x) by differentiating the series for 1/(5 - x) term by term. But ln(5 - x) is the integral of 1/(5 - x) (give or take a sign).

 

[HallsofIvy]

In other words integrate, don't differentiate!

 

[sai2020]

Oh. how stupid am i. God help me in my exam.