Autonomous
A differential equation or system of Ordinary Differential Equations is said tobe autonomous if it does not explicitly contain the independent variable (usually denoted 
). A second-orderautonomous differential equation is of the form 
, where 
. By the ChainRule, 
can be expressed as
For an autonomous ODE, the solution is independent of the time at which theinitial conditions are applied. This means that all particles pass through a given point in phase space. Anonautonomous system of
first-order ODEs can be written as an autonomous system of 
ODEs by letting 
and increasing the dimension of the system by 1 by adding the equation
- Nabla
- Nagel Point
- Naive Set Theory
- Napierian Logarithm
- Napier's Analogies
- Napier's Bones
- Napier's Constant
- Napier's Inequality
- Napkin Ring
- Napoleon Points
- Napoleon's Problem
- Napoleon's Theorem
- Napoleon Triangles
- Nappe
- Narcissistic Number
- Nash Equilibrium
- Nash's Theorem
- Nasik Square
- Nasty Knot
- Natural Density
- Natural Equation
- Natural Independence Phenomenon
- Natural Invariant
- Natural Logarithm
- Natural Measure