# Ordinary differential equation

## Differential equation containing derivatives with respect to only one variable / From Wikipedia, the free encyclopedia

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In mathematics, an **ordinary differential equation** (**ODE**) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions.^{[1]} The term "ordinary" is used in contrast with *partial* differential equations (PDEs) which may be with respect to *more than* one independent variable,^{[2]} and, less commonly, in contrast with *stochastic* differential equations (SDEs) where the progression is random.^{[3]}