齐次欧拉方程的另一种求解方法

Another Method to Solve Homogeneous Euler Equations

讨论了二阶齐次欧拉方程通解的求法,并将其结果推广到n阶齐次欧拉方程,通过讨论和实例求通解,表明此方法比"变量代换"法简单、直接。

This article deals with the method to get the general solutions to homogeneous Euler equations of order 2, then generalizes the results to the case of order n. With the discussion and the obtaining of the general solution, the method is proved to be simpler and more direct than that of variable transformation.