Ordinary Differential Equations

Ordinary differential equations are equations involving derivatives in one direction, to be solved for a solution curve.

Table of contentsEdit

Existence of ODEsEdit

First order equationsEdit

Second order equationsEdit

Higher order equationsEdit

Systems of equationsEdit

Laplace TransformEdit

Nonlinear systems of equationsEdit


Lyapunov's stability resultsEdit



SourcesEdit

Differential Equations and Boundary Value Problems- C.H. Edwards Jr and David E. Penny
MIT Open Courseware- http://ocw.mit.edu/index.html

  • Kong, Qingkai (0000). A Short Course in Ordinary Differential Equations. Universe: Publisher. 
  • Walter, Wolfgang (1998). Ordinary Differential Equations. New York: Springer.