负幂函数与高阶和式差一型线性微分方程的解法

Solution to the Negative Power Function and the Linear Differential Equation of High-grade Gentle with Lack-One Type

通过对负指数高阶和式差一型线性方程的研究,把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,同时把以上结论推广到高阶和式次数差一阶型线性方程,得出了一个一般性的结论,并将该方法应用于实际微分方程的求解.

By studying about the negative power function and the linear differential equation of high-grade gentle with lackone type, the linear differential equation is divided into successive integral linear differential equation and a general solution to this kind of equation is determined. Then the above conclusion is applied in the linear differential equation of high-grade gentle with lack-one type, a general solution has reached and followed by a real differential equation applied for a solution.