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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

<math>\frac{dy}{dx} = F(y/x).</math>

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

• Homogeneous differential equations at MathWorld
• Homogeneous Differential equations