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非开次常系数线性常微分方程的解耦降阶技巧
引用本文:吴端恭.非开次常系数线性常微分方程的解耦降阶技巧[J].集美大学学报(自然科学版),1998(3).
作者姓名:吴端恭
作者单位:集美大学水产学院!厦门,361021
摘    要:对于非齐次二阶常系数线性微分方程,给出一种普遍适用而简单的降阶技巧,同时也给出求解公式。对于n阶常系数及二阶交系数情形我们也给出相应降阶方法。

关 键 词:非齐次线性方程  直接解法  降阶法  求解公式

Technique of Decoupling Depression of Order for Nonhomogeneous Linear Ordinary Differential Equation with Constant Coefficients
Wu Duangong.Technique of Decoupling Depression of Order for Nonhomogeneous Linear Ordinary Differential Equation with Constant Coefficients[J].the Editorial Board of Jimei University(Natural Science),1998(3).
Authors:Wu Duangong
Abstract:In this paper we give a technique of decoupling depression of order for second order linear ordinary differential equation with constant coefficients. it is general purpose and simple, and we give some formulas of solution. We also give a method of depression of order for n-th order equation with constant coefficient and second order equation with varidble coefficient.
Keywords:nonhomogeneous linear equation  direct solving method  depression of order formasla of solution  
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