摘要
通过引入常系数线性积分算子,得到了求解常系数非齐次线性微分方程的新方法,拓宽了教材中二阶常系数线性微分方程的求解范围,给出了更高阶的常系数线性微分方程的一般解法,将复杂问题简单化.通过例题验证了方法的可行性.
By introducing constant coefficient linear integral operator,a new method for solving higher order non-homogeneous linear differential equation with constant coefficients was obtained.It widens the solution range of second-order linear differential equations with constant coefficients in the textbook,gives the general solution of higher order linear differential equations with constant coefficients and simplifies complex problems.Finally,the feasibility of the method is verified by an example.
作者
丁小婷
姚晓闺
刘红琴
DING Xiaoting;YAO Xiaogui;LIU Hongqin(Department of Basic Courses,Army Academy of Artillery and Air Defense,Hefei 230031,China)
出处
《高师理科学刊》
2022年第3期5-7,共3页
Journal of Science of Teachers'College and University
基金
陆军炮兵防空兵学院2021年度教育教学研究项目(2021JGKT002)。
关键词
常系数
非齐次
线性微分方程
通解
积分算子
constant coefficient
non-homogeneous
linear differential equation
general solution
integral operator