一类二阶变系数线性齐次微分方程的通解

General solution to a class of second order variable coefficient linear homogeneous differential equation

结合文献[1]中的结论(见引理3)进行推导,得出方程y″+P(x)y'+Q(x)y=f(x)所对应的齐次方程相对应的Riccati方程特解的求法,在此基础上,得出方程y″+P(x)y'+Q(x)y=0对应的通解。

This thesis focuses on the general solution to a class of second order variable coefficient linear homogene- ous differential equation. Combining a conclusion in Document [ 1 ] （ see Lemma 3） deduction is made to obtain a particular solution method to the corresponding Riccati equation in informity with the homogeneous equation , on which basis, a corresponding general solution to the equation is achieved.