黎卡提方程的初等解法

alculus and differential equation emerged at the same time. People have tried to use elementary integration to acquire the solutions of equation since it emerged .Over 100 years effort makes people grasp some types of Riccati equations which can not be solved using elementary integration. However, there exists a large number of Riccati equations which can be solved using elementary integration, but haven’t been discovered .Therefore, to solve Riccati equation using elementary integration is still basic research of differential equation. The well-known Riccati equation is such a partly intergratial differential equation ,and this article puts out some sufficient conditions using elementary integrations as well as the representatives of general solutions for several Riccati equation. Finaly gives some examples for those specific Riccati equation.