Hi, I have a question that asks me to explain how you could know if the initial conditions lead to a periodic solution of an ODE but I have no clue right now. I'd appreciate any help.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

edit: The question is a bit obscure because I am not sure if they are asking in general of for the specific equations that were given so I decided to copy the exact question in here.

x'' = 2*y' + x - (1 - (1/82.5))*(x+(1/82.5))/sqrt((x+mu)^2 + y^2)^3 - (1/82.5)*(x-(1 - (1/82.5)))/sqrt((x-muBar)^2 + y^2)^3 - f*x'

y'' = -2*x' + y - (1 - (1/82.5))*y/sqrt((x+mu)^2 + y^2)^3 - (1/82.5)*y/sqrt((x-muBar)^2 + y^2)^3 - f*y';

where f is any constant initialy 0

and the question is

Discuss how you could determine whether a given set of initial condtions leads to a periodic solution

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

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!

# Initial condition leads to periodic solution

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