Homogeneous differential equation

Please help improve this article or section by expanding it.
Further information might be found on the talk page or at requests for expansion.

A homogeneous differential equation has several distinct meanings.

One meaning is that a first-order ordinary differential equation is homogeneous if it has the form

$\frac{dy}{dx} = F(y/x).$

To solve such equations, one makes the change of variables u = y/x, which will transform such an equation into separable one.

A similarly called object, the linear homogeneous differential equation, is a differential equation which is linear and equal to 0.

[edit] External links

This mathematics-related article is a stub. You can help Wikipedia by expanding it.