关于二阶欧拉方程的求解

On Solving the Euler Equation of Order 2

欧拉方程一般都是用"变量代换"法求解的,但其过程一般都比较繁琐.直接用初等积分法给出了求二阶欧拉方程的通解的一般公式,此方法简单且适用范围广.

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 of the Euler equations of order 2 directly by the method of elementary integration, which is simple and applicable.