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

作　　者：孙长军[1] 

机构地区：[1]连云港职业技术学院数学教研室,江苏连云港222006

出　　处：《宁夏师范学院学报》2008年第6期83-86,共4页Journal of Ningxia Normal University

摘　　要：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.

关 键 词：负幂函数 差一型 逐次积分 线性微分方程 

分 类 号：O175.6[理学—数学]