中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊
重庆交通大学学报（自然科学版）

重庆交通大学学报（自然科学版） ›› 1990, Vol. 9 ›› Issue (3): 107-112.

• • 上一篇    

一类二阶变系数常微分方程的初等解法及其通解

胡国全   

  1. 基础部
  • 收稿日期:1990-02-28 出版日期:1990-06-23 发布日期:2016-11-08
  • 作者简介:胡国全,男,35岁,讲师

The Elementary Solving Process and the GeneralSolution to a Kind of Ordinary DifferentialEquations with Variable Coefficients of 2nd Order

Hu Guoquan   

  1. Department of Basic Courses
  • Received:1990-02-28 Online:1990-06-23 Published:2016-11-08

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摘要： 本文针对变系数P(t)与q(t)之间的某种确定的函数关系,通过简便的初等积分,将直接给出有关二阶变系数非齐线性微分方程:x"+P(t)x'+q(t)x=f(t)的通解。

关键词: 微分方程, 通解, 特解, 等价方程

Abstract: For a certain function relation between the variable coefficient p (t) and q (t),the general solution to an inhomogeneous linear differential equation of second order x"+p (t) x'+q (t) x=f (t) can be directly found by the simple elementary integration in this paper.

Key words: differential equation, general solution, particular solution, equivalent equations