Exploring the solutions of EOM with one DOF

The notebook provides a template where you learn how to

• define an EOM for a system with one DOF
• determine the solutions for given initial conditions
• plot the solutions in phase space
• plot the direction field of the EOM
• merge different plots and save them

• Based on this example we introduce the Sage syntax for handling ODEs

For more information you can take a look at a screenshot of the notebook — or you give it a try and

I am always very grateful for suggestions:

• need for additional comments and explanation
• possibilities for alternative, potentially more elegant solutions
• requests for other worksheets that introduce and explain further features of Sage or explore topics relevant for our course

Please send your notebooks by email to me, or post a comment in this discussion forum: