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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 | edit source]

Existence of ODEs[edit | edit source]

First order equations[edit | edit source]

Second order equations[edit | edit source]

Higher order equations[edit | edit source]

Systems of equations[edit | edit source]

Laplace Transform[edit | edit source]

Nonlinear systems of equations[edit | edit source]


Lyapunov's stability results[edit | edit source]



Sources[edit | edit source]

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.