- #1

Raging Dragon

- 6

- 0

## Homework Statement

Express (EllipticK(x)/EllipticE(x)-1) to two terms with a taylor series

## Homework Equations

EllipticE(x) = Int((1-k^2*_alpha1^2)^(1/2)/(1-_alpha1^2)^(1/2),_alpha1 = 0 .. 1), `with no restrictions on `(x)

EllipticK(k) = Int(1/((1-_alpha1^2)^(1/2)*(1-k^2*_alpha1^2)^(1/2)),_alpha1 = 0 .. 1)

Note this is the maple code expression for these

## The Attempt at a Solution

Using Maple (canadian mathematica) I got -x-5/4*x^3

I mainly want to verify this to make sure I'm solving a particular DE correctly.