含幂与二项式系数线性微分方程解法探讨

Solution to Constant Coefficient Linear Differential Equation with Power and Binomial Coefficients

通过把系数含有幂与二项式系数的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,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 constant coefficient linear differential equation with power and binomial coefficients into the linear differential equation of successive integral,the theory and method for the general solution for this equation are determined.The theorem obtained is proved strictly and the application is introduced through examples.