Ordinary Differential Equations

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

Table of contents[edit]

Existence of ODEs[edit]

First order equations[edit]

Second order equations[edit]

Higher order equations[edit]

Systems of equations[edit]

Laplace Transform[edit]

Nonlinear systems of equations[edit]


Lyapunov's stability results[edit]



Sources[edit]

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.