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.
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)
关键词
非齐次线性微分方程
特解
逆矩阵
non-homogeneous linear differential equations
special solutions
inverse matrix