Chapter 8.2, Problem 13P

In Problems 13 to 15, find a solution (or solutions) of the differential equation not obtainable by specializing the constant in your solution of the original problem. Hint: See Example 3.

Problem 2.

$x\sqrt{1-y^2}dx+y\sqrt{1-x^2}dy=0$, $y=\frac{1}{2}$ when $x=\frac{1}{2}$.