Ordinary Differential Equations

This chapter collects some notes on the lectures on solving problems with ordinary differential equations, starting at the end of the nineth week.

• The Scientific Method
  • Problems and Examples
  • Separation of Variables
  • Proposal for a Project Topic
  • Exercises
• Dynamics in Mechanics and Biology
  • The Planar Pendulum
  • Damped Harmonic Motion
  • Population Dynamics
  • Proposal for a Topic of a Project
  • Exercises
  • Bibliography
• Systems of Ordinary Differential Equations
  • Models of Pursuit
  • Multiple Mass Springs and Traffic
  • Nonlinear Systems
  • Proposal for a Topic of a Project
  • Exercises