恰当方程概念的导入及齐次函数欧拉定理必要性的另一种证法和它的应用  

Introduction of the Concept of Exact Differential Equations and another Proof of Necessary Conditions on the Euler Theorem of Homogeneous Functions with Its Application

作　　者：孔志宏[1] 

机构地区：[1]太原师范学院数学系,山西 晋中

出　　处：《理论数学》2021年第2期179-185,共7页Pure Mathematics

摘　　要：用由果溯因的方法导入恰当微分方程的概念。同时用另一种证法证明了齐次函数欧拉定理的必要条件,并举例说明了它的应用。The concept of exact differential equations is introduced by the method of causality. Furthermore, in this paper, another proof of the necessary conditions for the Euler theorem of homogeneous functions is given. Meanwhile, some relevant examples are given.

关 键 词：通解 二元函数 恰当微分 恰当微分方程 齐次函数 偏导数 积分因子 

分 类 号：G63[文化科学—教育学]