Example 5.  Solve the van der Pol equation with  [Graphics:Images/VanDerPolMod_gr_60.gif].  
    [Graphics:Images/VanDerPolMod_gr_61.gif].  

Solution 5.

Enter the functions  [Graphics:../Images/VanDerPolMod_gr_62.gif]  and  [Graphics:../Images/VanDerPolMod_gr_63.gif]  and form the vector function  [Graphics:../Images/VanDerPolMod_gr_64.gif].  

[Graphics:../Images/VanDerPolMod_gr_65.gif]


[Graphics:../Images/VanDerPolMod_gr_66.gif]

 

 

 

Compute the Runge-Kutta solution.

[Graphics:../Images/VanDerPolMod_gr_67.gif]


[Graphics:../Images/VanDerPolMod_gr_68.gif]

[Graphics:../Images/VanDerPolMod_gr_69.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004