# Ordinary Differential Equations/Riccati

Jump to navigation
Jump to search

The Riccati Equation

is different from the previous differential equations because, in general, the solution is not expressible in terms of elementary integrals.

However, we can obtain a general solution from a single particular solution when one is known.

Let be a particular solution, and let

so that the equation becomes

which is a Bernoulli equation.