逐次求导法在一类非齐次微分方程中的应用

The application of successive derivation in non-homogeneous differential equation

利用逐次求导的方法先对方程进行简化 ,再通过积分得到所求特解的一个待定式 ,然后比较方程两端的系数 ,从而得到最终结果 。

With the method of Successive Derivation, we can simplify the equation first; Then, with integration, we get an indeterminate form of the particular solution; Comparing the coefficients on both sides of the equation, we get the final result. The examples are given to support the method.