- #1
fittipaldi
- 3
- 0
Hi, everyone, I need some help with the following:
Given is, that the following power series:
[tex]\sum_{n=0}^{\infty} \frac{x^{3n}}{(3n)!}[/tex]
is the solution to the following differential equation: y''' - y = 0. Find the closed form of the series.
None
Well I tried differentiating the sum, then applying it to the differential equation, but I get something very nasty, so I am sure, I am on a bad way.
Please, help!
Homework Statement
Given is, that the following power series:
[tex]\sum_{n=0}^{\infty} \frac{x^{3n}}{(3n)!}[/tex]
is the solution to the following differential equation: y''' - y = 0. Find the closed form of the series.
Homework Equations
None
The Attempt at a Solution
Well I tried differentiating the sum, then applying it to the differential equation, but I get something very nasty, so I am sure, I am on a bad way.
Please, help!