RICCATI EQUATION Definition & Meaning

Riccati equation

[ ri-kah-tee; Italian reek-kah-tee ]

Phonetic (Standard)IPA

noun

Mathematics.

a differential equation, dy/dx + fy 2 + gy + h = 0, where f, g, and h are functions of x.

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51�Թ� History and Origins

Origin of Riccati equation¹

Named after J. F. Riccati (1676–1754), Italian mathematician

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Example Sentences

Examples have not been reviewed.

But if the group of three parameters be simple, this result must be replaced by the statement that the integration is reducible to quadratures and that of a so-called Riccati equation of the first order, of the form dy/dx = A + By + Cy�, where A, B, C are functions of x.

From

Ricardo Ricci

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