Solution:-
Given that
is an ordinary point .
A power series solution conveyes atleast on some interval defined by
where
R is the distance from to the closest singularity or closest singular point.
Therefore
x = 6 & x = 7 are 2 singular points of differential equation.
a)
Radius of convergence is finite & atleast 6
and option (b) is incorrect for a power series solution about ,
but is also a solution.
& radius of convergence is .
but you are asking for a power seires solution about
So Option a is correct
b is incorrect
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