(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 -> R^2 and I would like to find f:(-e,e) -> R^2, for some small e>0, such that f(0) is a given point and f'(t) = V(f(t)).
Can Sage do this for me? If so, how?