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integral curves in Sage

asked 2013-10-23 15:43:42 -0500

Joshua_Seaton gravatar image

updated 2013-10-24 02:34:53 -0500

calc314 gravatar image

(Forewarning: the typesetting here is seemingly awful. If you can find a better way of writing the math below than just plain text, please do.)

I have a vector field $V: R^2 \to R^2$ and I would like to find $f:(-\epsilon,\epsilon) \to R^2$, for some small $\epsilon>0$, such that $f(0)$ is a given point and $f'(t) = V(f(t))$.

Can Sage do this for me? If so, how?

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I can't seem to find this sort of functionality in the manuals.

Joshua_Seaton gravatar imageJoshua_Seaton ( 2013-10-23 15:44:32 -0500 )edit

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answered 2013-10-24 05:28:29 -0500

Have a look at the sagebook "Calcul mathématique avec Sage" (in french) at page 87.

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Asked: 2013-10-23 15:43:42 -0500

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Last updated: Oct 24 '13