Solution of a Sysmtem of Differential Equations 

Yasuyuki Nakamura
Graduate School of Information Science, Nagoya University
A4-2(780), Furo-cho, Chikusa-ku, Nagoya, 464-8601, Japan
nakamura@nagoya-u.jp
http://www.phys.cs.is.nagoya-u.ac.jp/~nakamura/ 

It is important to discuss behavior of solution in a system of differential equations. We can understand how a solution behaves by drawing an orbit of a solution with a vector field in a phase space. In this worksheet, we show some examples of behavior of solutions of a system of DEs and if you put DEs and an initial condition, an orbit of a solution with a vector field are shown. The figure below is an example of a solution of a pendulum with a dumping. Other examples, Lotka-Voltera equation and van der Pol equation are shown in the Examples section.  

When you put ODEs, initial conditions and so on, a set of input paramter is recorded as a history by pressing "Draw" button. If you put the No. of history, calculation is down with same set of paramters again.  

History of input parameters 

Initialization and definition of procedure 

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