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变系数二阶线性微分方程的公式解法
引用本文:王李. 变系数二阶线性微分方程的公式解法[J]. 海南大学学报(自然科学版), 2009, 27(4): 325-328
作者姓名:王李
作者单位:海南大学,信息科学技术学院,海南,海口,570228
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.

关 键 词:线性微分方程  特解  通解  可积条件

Formula Solution of Second Order Linear Differential Equations with Variable Coefficient
WANG Li. Formula Solution of Second Order Linear Differential Equations with Variable Coefficient[J]. Natural Science Journal of Hainan University, 2009, 27(4): 325-328
Authors:WANG Li
Affiliation:WANG Li (Information Science and Technology College, Hainan University, Haikou 570228, China)
Abstract: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.
Keywords:linear differential equation  special solution  general solution  integrability conditions
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