Definition:Homogeneous Equation

This page is about homogeneous equation. For other uses, see homogeneous.

Definition

A homogeneous equation is formed when a homogeneous expression is equated to zero.

Examples

Arbitrary Example $1$

The equation:

$x^2 + y^2 = 0$

is a homogeneous equation.

Arbitrary Example $2$

The equation:

$x^2 + y^2 = 3$

is not a homogeneous equation.

Also see

• Results about homogeneous equations can be found here.

Sources

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