二阶常系数非齐次线性微分方程的特殊解法  

On Special Solution of Second-order Constant Coefficient Inhomogeneous Linear Differential Equation

作　　者：蔺琳[1] Lin Lin(Dalian University of Finance and Economics,Dalian,Liaoning 116622,China)

机构地区：[1]大连财经学院,辽宁大连116622

出　　处：《黑龙江工业学院学报（综合版）》2020年第12期141-144,共4页Journal of Heilongjiang University of Technology(Comprehensive Edition)

基　　金：辽宁省教育科学“十三五”规划2018年度课题立项“基于创新型人才培养视域下通识教育实践课堂建设的研究与探索”(项目编号:JG18DB021)。

摘　　要：为剖析二阶常系数非齐次线性微分方程的特殊解法,拓宽非齐次线性微分方程的应用领域。分析对比了迭代法、升阶法、降阶法、算子法、积分求法、Laplace变换法、变量变换法和化为方程组法等方法的优缺点和适用条件。In order to analyze the special solution of second-order constant coefficient non-homogeneous linear differential equations,broaden the application fields of non-homogeneous linear differential equations,the paper analyzes and compares the advantages and disadvantages,the applicable conditions of the iterative method,the order-up method,the order-reduction method,the operator method,the integral method,the Laplace transformation method,the variable transformation method and the equation group method.

关 键 词：常微分方程 非齐次 特殊解法 分析 利弊 

分 类 号：O175[理学—数学]