一类典型微分方程积分因子的求法  

Algorithm of Solving the Integrating Factor in a Type of Typical Differential Equation

作　　者：沈浮[1] 王金山[1] 王鹏[1] 

机构地区：[1]解放军炮兵学院数学教研室,安徽合肥230031

出　　处：《佳木斯大学学报（自然科学版）》2011年第2期274-275,279,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：讨论了一阶微分方程有形如μ=μ(xm+yn)的积分因子的充要条件,并给出了新的一类典型微分方程的积分因子求法,具有一定的理论价值和实用价值.The necessary and sufficient conditions of existing integrating factor such as μ=μ（xm＋yn） in first order differential equation were discussed in this paper.The algorithm of solving the integrating factor in new a type typical differential equation was presented,which is valuable in both theory and practice.

关 键 词：全微分 观察法 偏导数 充要条件 

分 类 号：O175.1[理学—数学]