General Implicit Function/Examples/Arbitrary Example 1

Example of General Implicit Function

The following equation:

$y x_1 + y^2 x_2 + {x_3}^2 = 0$

is an example of an implicit function of $x_1$, $x_2$ and $x_3$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): implicit function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): implicit function