变系数二阶线性微分方程的公式解法  

Formula Solution of Second Order Linear Differential Equations with Variable Coefficient

作　　者：王李[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2009年第4期325-328,共4页Natural Science Journal of Hainan University

摘　　要：利用高阶导数的恒等式,得出变系数二阶线性微分方程具有积分形式的通解公式;其次给出两类二阶线性微分方程的可积条件与通解公式.In this paper, higher-order derivative of the identity were used to obtain the general solution formula which has the integral form for second-order linear differential equations with variable coefficients. And, the integrability conditions and general solution formula of two types second-order linear differential equation were given.

关 键 词：线性微分方程 特解 通解 可积条件 

分 类 号：O175[理学—数学]