I have various tools at my disposal, and a lot of use cases that they don't seem ideal for. My current application is a graduate class in chaotic systems, but this is a chronic problem for me both in class and in work.
The test problem I'm working with:
"For the system $\dot{x} = x − rx(1 − x)$, sketch all the qualitatively different vector fields that occur as $r$ is varied."
I typically use Python and Matplotlib to graph functions. For any other kind of visual aids, I use Inkscape, but it's often cumbersome; overkill in many respects, and without convenient shorthands in others.
Things I'd like to be able to add to an image with a click or two: Simple axes, vectors, free-body diagrams, labels, basic shapes, exact functions, any other functionality you might find in graphing software, free-drawn functions that maybe get splined/smoothed.
If it's something that's available on both mac and windows, that would be a huge bonus. Any recommendations?
(I also recognize this might not be the best stack to ask this question, but I figure most of you probably have a frequent need for this sort of thing :))