# Irregular singular points

1. Dec 23, 2013

### stroustroup

In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation. We learned how to solve these equations with power series using the Frobenius method.

I was wondering what happens when there is an irregular singular point, like $x^3y''+2xy'+y=0$ at x = 0.

What kinds of techniques are used to solve these equations (closed-form, series or any other thing besides numerical methods)?

2. Dec 24, 2013

### jackmell

You can start by looking at this thread: