二阶常系数非齐次线性微分方程特解的一个积分公式  

An Integral Formula for the Special Solution of Second Order Nonhomogeneous Linear Differential Equation with Constant Coefficients

作　　者：姬小龙[1] JI Xiaolong(Continuous Education College,Jiyuan Vocational and Technical College,Jiyuan 459000,Henan)

机构地区：[1]济源职业技术学院继续教育学院,河南济源459000

出　　处：《济源职业技术学院学报》2023年第1期46-48,共3页Journal of Jiyuan Vocational and Technical College

摘　　要：在二阶常系数齐次线性微分方程解(通解)的基础上,引入齐次方程基本解的概念,结合非齐次项,给出求二阶常系数线性非齐次微分方程特解的一个积分公式。用该积分公式求特解容易掌握,操作简单,思路清晰,便于教学与应用。On the basis of the solution(general solution)of the second order homogeneous linear differential equation with constant coefficients,the concept of the basic solution of the homogeneous equation is introduced,and combined with the non-homogeneous term,an integral formula for solving the special solution of the second order homogeneous linear differential equation with constant coefficients is given.It is easy to master the special solution by using the integral formula,operate simply,think clearly,and facilitate teaching and application.

关 键 词：微分方程 基本解 特解 积分公式 

分 类 号：O175[理学—数学]