Implicit Function/Examples/x^3 + y^3 - 3 x y = 0

Examples of Implicit Functions
Consider the equation:
 * $(1): \quad x^3 + y^3 - 3 x y = 0$

where $x, y \in \R$ are real variables.

Then $(1)$ defines $y$ as an implicit function of $x$ for all $x \in \R$.