格式化求解一类二元一阶常系数线性微分方程组

Formulaic Solution of a Class of Ordinary Differential Equations

高职院校《高等数学》教材中,一般介绍一阶线性常微分方程、二阶常系数线性常微分方程的解法,以及利用矩阵或者行列式求解多元线性方程组的方法。在此基础上,可以借助行列式、矩阵来格式化、公式化地求解含两个未知函数的一阶线性常系数常微分方程组,使该类常微分方程组的求解过程能够更加便捷,更加固定,更加程序化。

The current textbooks of ＂Advanced Mathematics＂in higher vocational colleges usually introduce the first order linear ordinary differential equation,the solution of second order linear differential equation with constant coefficients,and the use of matrix and determinant method of solving linear equation group. On this basis,the system of linear ordinary differential equations with two unknown functions can be formalized and formulated by means of determinant and matrix,so that the process of solving this kind of ordinary differential equations can be more convenient,more fixed and more programmed.