Example 4.  Solve the van der Pol equation with  [Graphics:Images/VanDerPolMod_gr_49.gif].  
    [Graphics:Images/VanDerPolMod_gr_50.gif].  

Solution 4.

Enter the functions  [Graphics:../Images/VanDerPolMod_gr_51.gif]  and  [Graphics:../Images/VanDerPolMod_gr_52.gif]  and form the vector function  [Graphics:../Images/VanDerPolMod_gr_53.gif].  

[Graphics:../Images/VanDerPolMod_gr_54.gif]


[Graphics:../Images/VanDerPolMod_gr_55.gif]

 

 

 

Compute the Runge-Kutta solution.

[Graphics:../Images/VanDerPolMod_gr_56.gif]


[Graphics:../Images/VanDerPolMod_gr_58.gif]

[Graphics:../Images/VanDerPolMod_gr_59.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004