| 基于二项式系数与排列数的交错级数型欧拉方程 |
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| 引用本文： | 孙长军.基于二项式系数与排列数的交错级数型欧拉方程[J].成都大学学报(自然科学版),2009,28(3):220-222. |
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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,2221306 |
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| 摘 要： | 通过把系数含有排列数与二项式系数的交错级数型欧拉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,所得定理给出了严格的证明,并通过实例介绍了它的应用.
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| 关 键 词： | 二项式系数 排列数 交错级数 欧拉方程 逐次积分 |
Euler Equation Based on Alternating Series Number Pattern of Binomial Coefficient and Arrangement Number |
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| SUN Changjun.Euler Equation Based on Alternating Series Number Pattern of Binomial Coefficient and Arrangement Number[J].Journal of Chengdu University (Natural Science),2009,28(3):220-222. |
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| Authors: | SUN Changjun |
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| Institution: | SUN Changjun (Mathematics Teaching and Research Section, Lianyungang Technical College, Lianyungang 222006, China) |
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| Abstract: | By transforming the alternating series type Euler equation with coefficient contains arrangement number and binomial coefficients into the linear differential equation of successive integration,the theory and method for the general solution of this kind of equation are determined.The theorem obtained is proved strictly and its application is introduced by examples. |
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| Keywords: | binomial coefficients arrangement number alternating series Euler equation successive integration |
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