# Revision history [back]

### integrating a vector field

(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?

### integrating a vector fieldintegral 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 -> 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? 3 updated formating

### 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?