How do you overlay trajectory graphs on vector fields?
Hi, I'm doing a programming problem where I have to graph a vector field, then overlay trajectory graphs with different initial values on it.
So far this is what I have:
var('R, S') plot_vector_field([3*R - R^2 - 2*R*S, 2*S - S^2 - R*S], (R,-50, 50), (S, -50, 50)) R = sol[:,0] S = sol[:,1] list_plot(zip(R,S), plotjoined=True)
The last line always produces a separate graph. I've tried using the "+" operator to "add" it to the vector field graph, but that gives me an error instead. I also don't know how to repeat the process (i.e. overlay additional trajectories) without having to make a new graph for each. Truth be told I'm only a beginning coder and have some trouble synthesizing different coding aspects together.
Any help would be greatly appreciated!