Example 5.  Solve the I.V.P.     over  .  Use the Runge-Kutta method with  100  subintervals of  [0, 10]  to get a numerical approximation to the solution.  Plot the solution using the 101 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 5.

Look at the graphs in the previous examples.

Remark. The value of y(10) is known to be  

(c) John H. Mathews 2003