摘要
积分因子是常微分方程的一个重要概念,本文主要讨论了一种特殊类型的一阶常微分方程的积分因子存在的充要条件及积分因子的表达形式,并举例说明用积分因子求其通解。
Integral factor is an important concept in the differential equations .In this paper, the necessary and sufficient condi-tions of existing integral factor in a special kind of first -order ordinary differential equations are discussed and the form of integral fac-tors is given.Using the integral factors , the general solutions have been derived.Examples are given to illustrate the effectiveness .
出处
《安庆师范学院学报(自然科学版)》
2014年第2期10-11,共2页
Journal of Anqing Teachers College(Natural Science Edition)
基金
安徽省高等学校省级教研项目(2012jyxm364)资助
关键词
常微分方程
积分因子
充要条件
ordinary differential equations
integral factor
necessary and sufficient condition