Definition:Differential Equation/Autonomous
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Definition
A differential equation is autonomous if none of the derivatives depend on the independent variable.
The $n$th order autonomous differential equation takes the form:
- $y^{\paren n} = \map f {y, y', y'', \dots, y^{\paren {n - 1} } }$
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): autonomous differential equation