Formulas For Solutions Of The Riccati’s Equation

Abstract

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them. The equation provides all necessary conditions of the theorem. The possibility of the application of the obtained results is also considered. The particular solution and the general solutions of the Riccati equations (1) is presented in the common cases and will be written in the forms (3) and (4).