二阶变系数线性微分方程的可积定理及其应用  

Inferable Theorem and Its Application of Second Linear Differential Equation with Varied Coefficient

作　　者：汤光宋[1] 

机构地区：[1]江汉大学数学系,湖北武汉430019

出　　处：《克山师专学报》2001年第3期8-10,共3页Journal of Keshan Teachers College

摘　　要：借助待定函数法与降阶法,给出二阶变系数线性微分方程可积的一个充分条件即定理,由此定理推出一系列便于应用的推论,还提供在相应条件下通解的表达式。This paper, by means of function and depression, puts forward a sufficient condition of inferable linear differential equation with varied coefficient, i.e.a theorem from which a series of corollary fit for application are deduced and raises a general equation under corresponding conditions.

关 键 词：二阶变系数线性微分方程 待定函数 降阶法 RICCATI方程 通解 

分 类 号：O175.11[理学—数学]