---
tag: 0VT2QK6X6Q
kind: concept
name: Riccati equation
msc: [34A34]
sources:
  - url: https://en.wikipedia.org/wiki/Riccati_equation
    locator: lead section
same_as:
  wikidata: Q851503
  wikipedia: Riccati equation
---

## Summary

A Riccati equation is a first-order equation $y' = q_0(x) + q_1(x) y + q_2(x) y^2$, with a right side quadratic in $y$.
It can be changed into a second-order linear equation. See the [[definition|0E1ZZBHZ3Z]].