non-homogeneous linear equation

In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.

二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。

First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.

首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。

We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.

提出了非齐次线性递归方程的降阶公式，并由此导出了常系数非齐次线性递归方程的特解公式。