摘要
通过对一般Riccati方程进行初等变换,使之变为特殊的Riccati方程,然后利用公式、观察实验,或利用二阶微分方程的特解,或利用一阶微分方程组的特解等方法,求得这些Riccati方程的特解.
In this paper, We make an elementary transfomation to some special Riccati equations,get the second order differential equation or first order differential equations, after that get the special solution of the Riccati equation with the help of special solution of the second order differential equation or first order differential equations, or formula method and observation trial method.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第7期382-386,共5页
Mathematics in Practice and Theory
基金
河南省"十五"教育科学规划重点课题资助项目(2003-JKCHA-163)
关键词
RICCATI方程
初等变换
二阶微分方程
一阶微分方程组
特解
Rieeati equation
elementary transformation
second order differential equation
first order differential equations
special solution
