(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant 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

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Approximating Elliptic Integrals on the computer

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**