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负二次幂交错级数型线性齐次微分方程
引用本文:孙长军.负二次幂交错级数型线性齐次微分方程[J].和田师范专科学校学报,2005,25(4):6-8.
作者姓名:孙长军
作者单位:连云港职业技术学院数学教研室,江苏,连云港,222006
摘    要:通过把系数含有负二次幂函数与排列数的交错级数型线性齐次微分方程化为可逐次积分的线性齐次微分方程,找出了求这类方程通解的方法与理论,把所得定理给出了严格的证明,并通过实例介绍了它的应用。

关 键 词:微分方程  线性  级数  交错  幂函数  积分  排列  通解  证明  定理
修稿时间:2005年3月18日

The solution of the interlace series type linear even differential equation of contain negative twice power function and arrangement number
SUN Chang-jun.The solution of the interlace series type linear even differential equation of contain negative twice power function and arrangement number[J].Journal of Hotan Teachers College,2005,25(4):6-8.
Authors:SUN Chang-jun
Abstract:By transforming the interlace series type linear even differential equation with coefficient contains negative twice power function and arrangement number into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie, theorem have happened have given strict proof, and through example, have introduced it's application.
Keywords:negative twice power function  arrangement number  interlace series  successive integral  linear even differential equation  solution
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