一类n阶常系数非齐次线性微分方程通解的简单求法  

A brief method of general solution of a class of n order non-homogeneous linear differential equations with constant coefficient

作　　者：张超龙[1] 李炜[1] 吴东庆[1] 杨志伟[1] 梁凯豪[1] ZHANG Chaolong;LI Wei;WU Dongqing;YANG Zhiwei;LIANG Kaihao(College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China)

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2022年第1期63-64,共2页Journal of Zhongkai University of Agriculture and Engineering

基　　金：广东省自然科学基金(2018A0303130136)资助项目.

摘　　要：利用算子解法,得到了一类n阶常系数非齐次线性微分方程的通解简便公式,相对于传统高等数学中惯用的待定系数法和工程中常用的Laplace变换法,该方法更简单.Using the differential operator method,a brief method of general solution of n order non-homogeneous linear differential equations with constant coefficient was obtained.The method was superior to the undetermined coefficient method and Laplace transform method.

关 键 词：微分方程 线性 非齐次 通解 

分 类 号：O175.1[理学—数学]