ordinary differential equation
Noun
Meaning
ordinary differential equation (plural ordinary differential equations)
(calculus) An equation involving the derivatives of a function of only one independent variable.
Examples
An ordinary differential equation is a differential equation that relates functions of one variable to their derivatives with respect to that variable.
In 1739, Leonhard Euler solved the ordinary differential equation for a forced harmonic oscillator and noticed the resonance phenomenon.
Roughly speaking, the semigroup approach is to regard a time-dependent partial differential equation as an ordinary differential equation on a function space.
Ordinary differential equations main An ordinary differential equation or ODE is an equation containing a function of one independent variable and its derivatives.
Transient solution The solution based on solving the ordinary differential equation is for arbitrary constants c 1 and c 2 The transient solution is independent of the forcing function.