Example 2.  Find the roots of  ,  and equilibrium solutions of the D. E.  .

Solution 2.

Use the Mathematica's procedure  Solve.

There are two "constant" or stationary solutions to the D. E.

Caveat.  The stationary solutions found are for case (ii).  Substituting   must be done prior to solving if the solution for case (i) is to be obtained.

(c) John H. Mathews 2004