用逆矩阵求某些常系数非齐次线性微分方程的特解  

Inverse Matrix Method for Special Solutions of Some Constant Coefficient Non-homogeneous Linear Differential Equations

作　　者：强成秀[1] 

机构地区：[1]兰州商学院陇桥学院数学部,兰州730100

出　　处：《重庆工商大学学报（自然科学版）》2015年第7期30-32,35,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金赞助项目资助(11061033)

摘　　要：根据函数的求导运算与不定积分互为逆运算的思想,利用逆矩阵方法讨论了求解某些常系数非齐次线性微分方程的特解,得到了求解该类问题的一般公式,并给出了证明和算例.According to the thoughts that derivation operation can be viewed as the inverse of indefinite integral, by inverse matrix this paper discusses some special solutions to non-homogeneous linear differential equations.General formulas for solving this kind of problems are obtained and proofs and numerical examples are given.

关 键 词：非齐次线性微分方程 特解 逆矩阵 

分 类 号：O175.1[理学—数学]