Chapter 9
Ordinary Differential Equations

 9.1 General Considerations
 9.2 Differential equations as Generators of Functions
 9.3 Solution Methods for ordinary Differential Equations
 9.4 Numerical Solution Methods, Initial Value Problem
  9.4.1 Explicit Euler Method
  9.4.2 Heun Method
  9.4.3 Runge-Kutta Method
  9.4.4 Further Developments
 9.5 Simulation of Ordinary Differential Equations
  9.5.1 Comparison of Euler, Heun and Runge-Kutta Methods
  9.5.2 Differential Equations of First Order
  9.5.3 Differential Equations of second order
  9.5.4 Differential Equations for Oscillators and Gravity Pendulum
  9.5.5 Character of Ordinary Linear Differential Equations
  9.5.6 Chaotic Solutions of Coupled Differential Equations