According to given question

(x^3+n^2+x+1)y''+(x^2+1)y'+y=0

Step 1: Since all coefficients are polynomial and p(0)=1+1=2≠0, 0 is an ordinary point and the above theorem applies.

Step 2: The two singular points are 1 and 2

Step 3: −1 is 1 unit from 0 and 2 is 2 units from 0.

Step 4: −1 is the singular point closest to 0 and it is a distance 1 away. The radius of convergence is at least 1

How do I find the singular points?

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