Example 19.   Use the Modified Euler Method to find numerical solutions to the D. E.  .  

Solution 19.

The solution curves with the initial conditions    can all be computed over the interval  .  
However the solution curves with the initial conditions do have vertical asymptotes so be careful how large an interval you use.

This is the same as the graph that was obtained in Example 17.

(c) John H. Mathews 2004