Example 5.  For the  I.V.P.  
       with   ,  
and
       with   .    
The implicit solution is  .
Determine if y can be solved as a function of x.

Solution 5.

Unfortunately, only the lower half of the curve can be solved explicitly.

If x is solved in terms of y, then a curve for the left half can be obtained.

(c) John H. Mathews 2004