Example 3.  Solve the van der Pol equation with  [Graphics:Images/VanDerPolMod_gr_39.gif].  
    [Graphics:Images/VanDerPolMod_gr_40.gif].  

Solution 3.

Enter the functions  [Graphics:../Images/VanDerPolMod_gr_41.gif]  and  [Graphics:../Images/VanDerPolMod_gr_42.gif]  and form the vector function  [Graphics:../Images/VanDerPolMod_gr_43.gif].  

[Graphics:../Images/VanDerPolMod_gr_44.gif]


[Graphics:../Images/VanDerPolMod_gr_45.gif]

 

 

 

Compute the Runge-Kutta solution.

[Graphics:../Images/VanDerPolMod_gr_46.gif]


[Graphics:../Images/VanDerPolMod_gr_47.gif]

[Graphics:../Images/VanDerPolMod_gr_48.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004