一类二阶变系数线性微分方程及其解的构造方法

To Construct Some Linear Differential Equations for the Variable Coefficient of the Second Order and the Solution

利用构造法构造二阶变系数线性齐次微分方程及其解,根据这种方法也能求得某些二阶变系数线性齐次微分方程的非零解,并给出了二阶变系数线性齐次微分方程存在非零解的充要条件.

To put to use of the structure method to nonzero solution of homogeneous linear differential equations for the variable coefficient of the second order. Then to obtains the necessary and sufficient condition of the existence nonzero solution of homogeneous linear differential equations.