- #1

BColl

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## Homework Statement

Obtain solution valid near x=0

## Homework Equations

(x

^{2}+1)y''+6xy'+6y=0

## The Attempt at a Solution

y"+6x/(x

^{2}+1)y'+6x/(x

^{2}+1)=0

In representing the solution in series notation, I'm not sure how deal with the rational function because I know I need to have all of the x terms inside the summation and create powers of x that are all the same to create a single summation. The denominator of a rational function does not seperate, so how would adjust the summation to take this into account?