Ordinary Differential Equations/Ricatti
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.Last modified on 27 November 2010, at 05:40