# MATH 308 - Chapter 5 $$ y(x) = \begin{aligned} y(0)\left(1 + \sum\limits_{n=1}^{\infty} {x^{3n} \over (3n)!!!(3n-1)!!!}\right) \\ + y'(0)\left(x+\sum\limits_{n=1}^{\infty} {x^{3n+1} \over (3n+1)!!!(3n)!!!}\right) \end{aligned} $$
The solution to the Airy equation in series form
## Sections - [Power Series and Differential Equations](Infinite_Series.html) - [Ordinary Points and Series Theorem](Ordinary_Points.html)