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skelet666 [1.2K]
2 years ago
12

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

Mathematics
1 answer:
andrew11 [14]2 years ago
7 0
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:

y'=y^2-1 is autonomous

y'=y^2-1+x is *not* autonomous
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