高阶欧拉方程的求解  

On Solution to Euler Equation of Higher-order

作　　者：朱玲[1] 

机构地区：[1]湖北工业大学工程技术学院,湖北武汉430068

出　　处：《绵阳师范学院学报》2014年第5期13-16,共4页Journal of Mianyang Teachers＇ College

摘　　要：通常高阶欧拉方程一般都是用变量替换法求解的,但其过程一般都比较复杂.本文直接用初等积分法给出了求高阶欧拉方程通解的一般公式,此方法简单且使用范围广.In general, Euler Equation is solved by the method of variable transformation, but the procedure is complicated. This article introduces a general formula to get the general solutions to the Euler Equation of higher - order directly by the method of elementary integration, which is simple and applicable.

关 键 词：欧拉方程 初等积分法 通解 

分 类 号：O241.8[理学—计算数学]