Example 2.  Solve the I.V.P.   [Graphics:Images/RungeKuttaMod_gr_48.gif]  over  [Graphics:Images/RungeKuttaMod_gr_49.gif].  Use the Runge-Kutta method with  10  subintervals of  [0, 10]  to get a numerical approximation to the solution.  Plot the solution using the 11 points you just computed in the window {{0,10},{0,1}}.  Report the last point which is the numerical approximation to  (10, y(10)).
Solution 2.

[Graphics:../Images/RungeKuttaMod_gr_50.gif]

[Graphics:../Images/RungeKuttaMod_gr_51.gif]

[Graphics:../Images/RungeKuttaMod_gr_52.gif]

[Graphics:../Images/RungeKuttaMod_gr_53.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003