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 $V: R^2 \to R^2$ 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?