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

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.