# ODE ISP1

From Example Problems

Given the differential equation

i.e.,

⇒

So

is a singular point because the functions P(x) and Q(x) are not analytic at x=0.

To check for regularity consider the functions ,P(x) and ,Q(x)

i.e., and

i.e., 4 and which are not analytic at

Hence x=0 is and irregualr singular point