Example 2.  Solve the van der Pol equation with  [Graphics:Images/VanDerPolMod_gr_29.gif].  
    [Graphics:Images/VanDerPolMod_gr_30.gif].  

Solution 2.

Enter the functions  [Graphics:../Images/VanDerPolMod_gr_31.gif]  and  [Graphics:../Images/VanDerPolMod_gr_32.gif]  and form the vector function  [Graphics:../Images/VanDerPolMod_gr_33.gif].  

[Graphics:../Images/VanDerPolMod_gr_34.gif]


[Graphics:../Images/VanDerPolMod_gr_35.gif]

 

 

 

Compute the Runge-Kutta solution.

[Graphics:../Images/VanDerPolMod_gr_36.gif]


[Graphics:../Images/VanDerPolMod_gr_37.gif]

[Graphics:../Images/VanDerPolMod_gr_38.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004