| 叠加法求常系数n阶非齐次线性微分方程的解 |
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| 引用本文： | 殷华敏,霍锦霞.叠加法求常系数n阶非齐次线性微分方程的解[J].甘肃高师学报,2010,15(2):16-17. |
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| 作者姓名： | 殷华敏 霍锦霞 |
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| 作者单位： | 1. 陇东学院数学系,甘肃庆阳,745000
2. 兰州城市学院数学学院,甘肃兰州,730070 |
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| 摘 要： | 用待定系数——叠加法讨论了常系数非齐次线性微分方程a(nx)dny/dxn+an-(1x)dn-1y/dxn-1+…+a(1x)dx/dy+a(0x)y=g(x)的解,分两种情形详尽地总结了此方法.
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| 关 键 词： | 特解 余函数 线性无关 叠加法 |
Solution of Order Linear Nonhomogeous Differential Equation with Constant Coeffcients |
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| YIN Hua-min,HUO Jin-xia.Solution of Order Linear Nonhomogeous Differential Equation with Constant Coeffcients[J].Journal of Gansu Normal College,2010,15(2):16-17. |
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| Authors: | YIN Hua-min HUO Jin-xia |
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| Institution: | (Department of Mathematics, Longdong University, Qingyang Gansu 745000; College of Mathematics, Lanhou City University, Lanzhou Gansu 730070) |
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| Abstract: | In this paper,we use coeffcient_superposition to discuss the constant coeffcient nonhomogeous linear equation＇s solution with two different situation an（x）dny/dxn＋an-1（x）dn-1y/dx n-1＋…＋a1（x）dy/dx＋a0（x）y=g（x） concluding this method. |
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| Keywords: | particular solution complementary function superposition method linearly independent |
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