How to plot the component curves, orbits, and the time-space curves of a given initial value problem? I request your kind suggestion and relevant software to solve the problem.
Since there is no specific software available for this procedure, I recommend checking the websites listed through Google Search. I have narrowed down the results in order to show only the capable applications of plotting what you've requested above. The first 2-3 links should be more than enough to get an overview about the capabilities of their applications.