| 含幂与二项式系数的交错级数型常系数线性微分方程 |
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| 引用本文： | 孙长军.含幂与二项式系数的交错级数型常系数线性微分方程[J].荆门职业技术学院学报,2010(11):39-42. |
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| 作者姓名： | 孙长军 |
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| 作者单位： | 连云港职业技术学院数学教研室,江苏连云港222006 |
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| 摘 要： | 通过将系数含有幂与二项式系数的交错级数型常系数线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,证明了所得定理,并通过实例介绍了它的应用。
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| 关 键 词： | 幂 二项式系数 交错级数 逐次积分 线性微分方程 |
Solution of the Interlace Series Type Constant Coefficient Linear Differential Equation Containing Power and Binomial Coefficient |
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| SUN Chang-jun.Solution of the Interlace Series Type Constant Coefficient Linear Differential Equation Containing Power and Binomial Coefficient[J].Journal of Jingmen Vocational Technical College,2010(11):39-42. |
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| Authors: | SUN Chang-jun |
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| Institution: | SUN Chang-jun(Lianyungang Technical College,Lianyungang,Jiangsu,222006,China) |
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| Abstract: | By transforming the interlace series type constant coefficient linear differential equation with coefficient contains power and binomial coefficients into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.The theorem obtained is proved strictly and the application is introduced through examples. |
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| Keywords: | power binomial coefficient interlace series successive integral linear differential equation |
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