西安文理学院学报:自然科学版
西安文理學院學報:自然科學版
서안문이학원학보:자연과학판
Journal of Xi‘an University of Arts & Science:Natural Science Edition
2012年
2期
31-33
,共3页
Riccati微分方程%通解%积分因子%充要条件
Riccati微分方程%通解%積分因子%充要條件
Riccati미분방정%통해%적분인자%충요조건
Riccati differential equation%general solution%integrating factor%necessary and sufficient condition
讨论一类Riccati微分方程的通解,得到了它存在某种积分因子的充要条件,为寻求Riccati微分方程的积分因子提供了有效的方法,并给出它的应用.
討論一類Riccati微分方程的通解,得到瞭它存在某種積分因子的充要條件,為尋求Riccati微分方程的積分因子提供瞭有效的方法,併給齣它的應用.
토론일류Riccati미분방정적통해,득도료타존재모충적분인자적충요조건,위심구Riccati미분방정적적분인자제공료유효적방법,병급출타적응용.
We discuss the general solution to one kind of Riccati differential equation and find out the necessary and sufficient condition for proving the existence of some integrating factor in it.Ours is an effective method of finding the integrating factor of Riccati differential equation and we also address its application.