Example 9.  Solve the I.V.P.  .  

Solution 9.

Compute the Runge-Kutta solution based on 50 subintervals and plot the results.

Compute the Runge-Kutta solution based on 100 subintervals and plot the results.
Observe that one fewer subinterval is computed for this case.

Compute the Runge-Kutta solution based on 200 subintervals and plot the results.
Observe that four fewer subintervals are computed for this case.

(c) John H. Mathews 2004