Riccati equation

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

noun

, Mathematics.

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

Word History and Origins

Origin of Riccati equation¹

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

Example Sentences

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 Project Gutenberg