Example 1.  Solve the Lorenz I. V. P.  
                and        
                and        
                and        

Solution 1.

Enter the vector function  .  

Compute the Runge-Kutta solution. Since this curve is known to twist a lot in 3D space, it will require about 1000 subintervals to get good resolution.

We can plot the projections on the coordinate planes.

We can plot the coordinate functions.

(c) John H. Mathews 2004