Example 17.  Plot the solutions to the D. E.    in Example 17
that have the following initial conditions  x[0] = 1, 2, 3, 4, 5, 6.

Solution 17.

We shall use the technique where we solve    for  .
You will get some warning messages from Mathematica, ignore them.  Hang in there !

Replace the values    for the constant c[1],
and form the functions we wish to plot.

Graph these solutions.

Observe.  The each population curve becomes extinct.  

(c) John H. Mathews 2004