Example 1. Solve the I.V.P. .
Solution 1.
Compute the Runge-Kutta solution based on 25 subintervals and plot the results.
(c) John H. Mathews 2004
![[Graphics:Images/RungeKuttaMod_gr_29.gif]](../Images/RungeKuttaMod_gr_29.gif){kind=small}
. . ![[Graphics:../Images/RungeKuttaMod_gr_34.gif]](../Images/RungeKuttaMod_gr_34.gif)
![[Graphics:../Images/RungeKuttaMod_gr_30.gif]](../Images/RungeKuttaMod_gr_30.gif)
![[Graphics:../Images/RungeKuttaMod_gr_31.gif]](../Images/RungeKuttaMod_gr_31.gif){kind=small}
![[Graphics:../Images/RungeKuttaMod_gr_32.gif]](../Images/RungeKuttaMod_gr_32.gif){kind=small}
![[Graphics:../Images/RungeKuttaMod_gr_33.gif]](../Images/RungeKuttaMod_gr_33.gif)
![[Graphics:../Images/RungeKuttaMod_gr_35.gif]](../Images/RungeKuttaMod_gr_35.gif){kind=small}
![[Graphics:../Images/RungeKuttaMod_gr_36.gif]](../Images/RungeKuttaMod_gr_36.gif){kind=small}
![[Graphics:../Images/RungeKuttaMod_gr_37.gif]](../Images/RungeKuttaMod_gr_37.gif)
![[Graphics:../Images/RungeKuttaMod_gr_38.gif]](../Images/RungeKuttaMod_gr_38.gif){kind=small}
![[Graphics:../Images/RungeKuttaMod_gr_39.gif]](../Images/RungeKuttaMod_gr_39.gif){kind=small}