求解高阶常系数线性微分方程的新法再探

A New Solution to the Higher Linear Differential Equation with Constant Coefficients

把常系数齐次线性微分方程施以变换ｙ＝ｚｅｒｘ所得的方程写成复合微分方程，再转化为非齐次微分方程，用待定系数法或数学归纳法，导出了常系数齐次线性微分方程的通解是它的两个特定的互补子方程的通解的和。

Under the transformation y=ze rx ,the homogeneous linear differential equation was written as a composite differential equation, and then as a non homogeneous linear differential equation. By using the method of undetermined coefficients and mathematical induction, it was derived that the general solution to the homogeneous linear differentical equation with constant coefficients was the sum of the general solutions to its two specially relatively complemented subequations.