一类二阶变系数微分方程的解

Solution of a Class of Second Order Differential Equation

本文主要讨论了一类二阶变系数线性微分方程的求解问题,通过变量代换方法将二阶变系数微分方程化为Riccati方程,利用Riccati方程的解的已有结果,得出二阶变系数微分方程的通解表达式。

In this paper,the solution of a class of second-order linear differential equations with variable coefficients is discussed.By using the variable substitution method and the solution results of Riccati equations,the representations of solution of the differential equation are obtained.Several examples are given to illuminate the results.