新复合型积分因子的存在定理及应用  

The New Existence Theorem Complex Integrating Factor and Its Application

作　　者：姚红梅 

机构地区：[1]陕西邮电职业技术学院基础部,咸阳712000

出　　处：《科学技术与工程》2010年第15期3673-3674,3687,共3页Science Technology and Engineering

摘　　要：给出了微分方程P(x,y)dx+Q(x,y)dy=0的复合积分因子定义,并讨论了一类复合积分因子存在的充要条件及计算公式。介绍一种通过积分因子法求解一阶线性微分方程的新解法。The definition of P（x,y）dx＋Q（x,y）dy=0 complex integrating factor about differential equation is given.Then the necessary and sufficient condition of the existence of complex integrating factor and its calculating formula are obtained.A new method for solving one-order linear ordinary differential equation by using the integrating factor method is introduced.

关 键 词：复合型积分因子法 通积分 非全微分方程 

分 类 号：O175.1[理学—数学]