### integral curves in Sage

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

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