Do, think about, and research the following:
Program it!
Maybe you can further explore the power of C++ (if not done already):
These are just examples.
Plot your results with gnuplot to see the different behaviour of the integration with different settings and different integrators.
Goal of this tutorial is that you acquire proficiency in using classes and structures, “while” and “for” loops, passing variables to subroutines, and defining functions. I am Groot. In addition you should become fluent in plotting data with gnuplot.