ordinary differential equation
1Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …
2ordinary differential equation — Math. an equation containing derivatives but not partial derivatives. Cf. partial differential equation. * * * Equation containing derivatives of a function of a single variable. Its order is the order of the highest derivative it contains (e.g …
3ordinary differential equation — noun : differential equation * * * Math. an equation containing derivatives but not partial derivatives. Cf. partial differential equation …
4ordinary differential equation — noun An equation involving the derivatives of a function of only one independent variable …
5differential equation — n. Math. any equation containing a derivative: such an equation is called an ordinary differential equation if it has only one independent variable and a partial differential equation if it has more than one independent variable …
6Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …
7differential equation — Math. an equation involving differentials or derivatives. [1755 65] * * * Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by… …
8Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …
9Stochastic differential equation — A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, thus resulting in a solution which is itself a stochastic process. SDE are used to model diverse phenomena such as… …
10Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …
