Example 6.  Solve the van der Pol equation with  [Graphics:Images/VanDerPolMod_gr_70.gif].  
    [Graphics:Images/VanDerPolMod_gr_71.gif].  

Solution 6.

Enter the functions  [Graphics:../Images/VanDerPolMod_gr_72.gif]  and  [Graphics:../Images/VanDerPolMod_gr_73.gif]  and form the vector function  [Graphics:../Images/VanDerPolMod_gr_74.gif].  

[Graphics:../Images/VanDerPolMod_gr_75.gif]


[Graphics:../Images/VanDerPolMod_gr_76.gif]

 

 

 

Compute the Runge-Kutta solution.

[Graphics:../Images/VanDerPolMod_gr_77.gif]


[Graphics:../Images/VanDerPolMod_gr_78.gif]

[Graphics:../Images/VanDerPolMod_gr_79.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004