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Ordinary Differential Equation (Definition)

An ordinary differential equation (ODE) is an equation for a function of one variable that involves "ordinary" derivatives of the function and, possibly, known functions of the same variable.

We give several examples below.

(1)   $\frac{d^2x}{dt^2} + \omega^2 x = 0$
(2)   $\frac{d^2x}{dt^2} - \alpha x \frac{dx}{dt} - x + x^3 = sin(wt)$

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"Ordinary Differential Equation" is owned by bloftin.
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See Also: differential equations


Cross-references: function, ordinary differential equation
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This is version 4 of Ordinary Differential Equation, born on 2025-01-26, modified 2025-01-31.
Object id is 933, canonical name is OrdinaryDifferentialEquation.
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Physics Classification: 02.30.Hq (Ordinary differential equations)
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