二阶变系数非齐次线性微分方程的一类通解
A Class of General Solutions for Second-order Non-homogeneous Linear Differential Equations with Variable Coefficients
刘蒙蒙 1叶永升 1石洋洋1
作者信息
摘要
利用待定函数法研究了二阶变系数非齐次线性微分方程的系数满足特定条件时的通解公式.旨在丰富二阶线性微分方程的解题技巧,培养学生的创新思维能力.
Abstract
In this paper,the undetermined function method is used to study the general solution formula of the second or-der non-homogeneous linear differential equation with variable coefficients when the coefficients meet certain conditions.The purpose is to enrich the skills of solving second-order linear differential equations and to cultivate students'innovative thinking ability.
关键词
变系数/非齐次/微分方程/解题技巧Key words
variable coefficient/non-homogeneous/differential equation/problem-solving skill引用本文复制引用
基金项目
安徽省高等学校自然科学研究项目(2022AH050387)
淮北师范大学校级质量工程项目(2023ixvi027)
出版年
2024
NETL
NSTL
万方数据