MelClaylksdayink MelClaylksdayink

06-04-2017
Mathematics

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What does it mean for a differential equation to be autonomous?

Respuesta :

LammettHash LammettHash

06-04-2017

The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.

Examples:

[tex]y'=y^2-1[/tex] is autonomous

[tex]y'=y^2-1+x[/tex] is *not* autonomous

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