负一次幂交错级数型的高阶和式差一型线性微分方程

Solution of Negative One Twice Power of the High—grade Gentle Lack One Type Linear Differential Equation

通过把系数含有负一次幂与排列数的交错级数型的高阶和式差一型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,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.

By transforming the interlace series type negative one twice power high-grade gentle lack one type linear differential equation 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 popularize above conclusion to high-grade gentle lack one type linear differential equation, have reached a conclusion of generality, and study the reality application of this kind of equation.