一类一阶变系数线性微分方程组解的结构

J4 ›› 2014, Vol. 13 ›› Issue (6): 4-6.

一类一阶变系数线性微分方程组解的结构

凤凰县两林学区，湖南凤凰 416211

收稿日期:2013-09-16 出版日期:2014-06-15 发布日期:2014-06-15
作者简介:符云锦，主要从事初等数学、微分方程、分析学和教育理论及其应用研究.

The Structure on Solution of a Kind of First-order Variable Coefficient Linear Differential System of
Equations

Lianglin School District of Fenghuang，Fenghuang, Hunan 416211，China

Received:2013-09-16 Online:2014-06-15 Published:2014-06-15

摘要/Abstract

摘要：

基于一阶变系数线性齐次微分方程组dY/dx =Af (x)Y（ f (x) 为可积函数）的通解基础上，进一步探讨一类一阶变系数线性
微分方程组的解法，给出了其通解的结构定理。

关键词: 变系数, 微分方程组, 解法, 通解

Abstract:

Based on the general solution of the first order variable coefficient linear homogeneous differential equations of
dY/dx =Af (x)Y （f (x) is an integral function），the solutions of first order variable coefficient linear differential equations are further explored，and the structure theorem of the general solution is provided.

Key words: variable coefficients, differential equation systems, solving method, general solution

中图分类号:

O175.1

符云锦. 一类一阶变系数线性微分方程组解的结构[J]. J4, 2014, 13(6): 4-6.

FU Yun-Jin. The Structure on Solution of a Kind of First-order Variable Coefficient Linear Differential System of
Equations[J]. J4, 2014, 13(6): 4-6.

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