1. The motion of a simple pendulum can be expressed as . Write a Python script that plots the phase space for the model. If done correctly it should look like this:
Tip: use the sample code for Continuous Time modeling I uploaded as an example
2. (4 points) The SIR model is given as
𝑑𝑆
Tip: You should note that the third equation does not influence the first two. So, it can be ignored. Using the first two equations only, develop a Python script that will plot the phase space of the model. You should get something like this as your output