singular or ordinary point of a differential equation

1.6k Views Asked by At

Is $x=0$ singular or regular point of the following differential equation

$p_2(x)y''+p_1(x)y'+p_0(x)y=0$

We know that $s_1=x$ and $s_2=x^2$ are two solutions of the equation

I am having trouble figuring out how I can use the solutions to find out if it is a singular or ordinary point. Any help would help alot :)