Definition:Riccati Equation

Definition

The Riccati equation is the first order ordinary differential equation:

$y' = p \left({x}\right) + q \left({x}\right) y + r \left({x}\right) y^2$

Also see

• Results about the Riccati equation can be found here.

Source of Name

This entry was named for Jacopo Francesco Riccati.

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): Miscellaneous Problems for Chapter $2$: Problem $28$
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Riccati equation