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. |
关键词: 非齐次线性微分方程 特解 逆矩阵 |
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Inverse Matrix Method for Special Solutions of Some Constant Coefficient Non homogeneous Linear Differential Equations |
QIANG Cheng xiu
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Abstract: |
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. |
Key words: non homogeneous linear differential equations special solutions inverse matrix |