You are not logged in.
I understand that process of solving a Ricatti Equation, and I know that an integral part of that process is identifiying a particular solution, but that is the one thing that I don't understand. This is probably really easy but I don't understand how you can figure that you right away.
So for example:
Solve the Ricatti Equation:
dy/dx = 2 - 2xy + y^2
The book says "it is easy verified that a particular solution of this equation is y = 2x." How did they get that?
I guess their first inspiration comes from 2, 2 makes 2x in y inevitable. Then they just tried y=2x, or 2x+g(x).
X'(y-Xβ)=0
Offline