n阶线性常系数微分方程初值问题的矩阵解法

On Matrix Solution to Initial Value Problem of an N-th Order Linear Constant Coefficient Differential Equation

借助矩阵指数函数和矩阵函数导数的概念,结合线性代数和微分方程的有关结论,给出了n阶线性常系数微分方程初值问题的矩阵解法。

Through concepts of the matrix exponential function and the matrix function differential coefficient in combination with relevant restults of linear algebra and differential equation, the paper finds the matrix solution to initial value problem of an n - th order linear constant coefficient differential equation.