# nLab ordinary differential equation

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

## Applications

#### Equality and Equivalence

An ordinary differential equation is a differential equation involving derivatives of a function with respect to one argument only, i.e. the function is on a manifold of only $1$ dimension. This function can be vector valued, what is sometimes viewed as a system of possibly coupled equations; still all of them have the derivatives taken with respect to the same parameter.

Revised on October 15, 2012 18:00:13 by Zoran Škoda (161.53.130.104)