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非齐次线性常微分方程的降阶积分法
引用本文:何众琦. 非齐次线性常微分方程的降阶积分法[J]. 平顶山学院学报, 2015, 0(2): 9-12
作者姓名:何众琦
作者单位:平顶山学院数学与信息科学学院
摘    要:用逐次降阶给出二阶、三阶非齐次线性方程的通解公式.逐次降阶法也适用于高阶非齐次线性方程.这是求解非齐次线性方程的不同于常数变易法的另一种方法.虽然方法不同,但所得结果相同.

关 键 词:非齐次线性方程  合成解法  降阶  积分解

The Reduced Integration of Inhomogeneous Linear Ordinary Differential Equations
HE Zhongqi. The Reduced Integration of Inhomogeneous Linear Ordinary Differential Equations[J]. Journal of Pingdingshan University, 2015, 0(2): 9-12
Authors:HE Zhongqi
Affiliation:HE Zhongqi;School of Mathematics & Information Science,Pingdingshan University;
Abstract:The integral formula of second order and third order inhomogeneous linear equations are given.The high order inhomogeneous linear equations are solved with reduced order too. It is another methord of solving the inhomogeneous linear equations,which is different from the methord of variation of constant.
Keywords:the inhomogeneous linear equation  integration  reduced order  solution
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