## Period of the DE trajectory

I have a second order nonlinear ODE. I know that a trajectory with specified initial conditions $$\left[ x(0) = x_0, \dot{x}(0) = \dot{x}_0 \right]$$ is periodic. How can I numerically calculate period of this trajectory without solve this DE?
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 Recognitions: Homework Help Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?

 Quote by rcgldr Are you allowed to use a numerical method like Runge Kutta or would that be considered "solving" the ODE?
I mean that the numerical solution like the attachment paper.
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Homework Help

## Period of the DE trajectory

That's a method that I'm not familiar with. Hopefully someone here may be able to help.

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