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ordinary differential equation

American  

noun

  1. Mathematics. an equation containing derivatives but not partial derivatives.


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This result itself shows that every ordinary differential equation of the first order is subject to an infinite number of infinitesimal transformations.

From Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" by Various

Examples: d2z = g: ydx + xdy + zdz = 0. dt2 An ordinary differential equation involves only one independent variable, a partial differential equation involves more than one.

From The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde by Various

This will show how, in the case of an ordinary differential equation, the fact that the equation admits a continuous group of transformations may be taken advantage of for its integration.

From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various

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