# 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)