二阶线性齐次微分方程的一个可解定理

A Soluble Theorem of Two Order Homogeneous Linear Differential Equation

本文基于文献[1],研究在理论上和应用上有着重要地位的二阶线性齐次常微分方程的解法,得到了变系数二阶线性微分方程一个新的实用的可解充分条件,导出了若干新的可解类型,推广了二阶线性微分方程的一些古典的和近代的可解结果,完善了著名的方程的解式。

The solution of two order homogeneous linear differential equation which is important in practice and theory is researched by basing on reference[1] and the new practical soluble sufficient condition of variable coefficient two order linear differential equation is obtained. Some new soluble kinds are derived and some classical and modern soluble results of two order linear differential equation are extended and the solution of the famous equation is perfected.