线性常微分方程初值问题的一种简便解法

A Simple Way to Find the Initial Values of Linear Ordinary Differential Equations

本文利用数学物理方程中齐次化原理的思想方法,给出了线性常微分方程初值问题的一种较为方便的求解方法;并把二阶常系数线性常微分方程的结果推广到 x 阶变系数以及更为一般的线性常微分方程组的情形。

Guided by the principle of homogenization in mathematical physics equations,the author presents a simple way to find the initial values of linear ordinary differential equations.Meanwhile,he makes the result of second order linear ordinary differential equations with constant coefficients extend to nth order linear equations with variable coefficients,and extend to a more general system of linear ordi- nary differential equations.