关于求常系数非齐次线性微分方程特解的注记

Notes on Finding Particular Solution for Non-homogeneous Linear Differential Equations With Constant Coefficients

求常系数非齐次线性微分方程特解的关键是正确写出特解的形式。本文给出了求常系数非齐次线性微分方程特解的几个注记:类型Ⅰ的推广、利用复数法和解的叠加原理求特解,并给出实例加以说明。

The key of finding particular solution for non - homogeneous linear differential equation is writing the form of particular solu- tion. In order to enable students grasp the knowledge, we give several notes ： the generalization of types of I , finding particular solution by complex number method and superposition principle of solutions. In order to facilitate teaching and students＇ comprehension, we also give examples to illustrate the applicability of our results.