一阶常微分方程初值问题的解析方法

The analytic method for initial value problem of system of first order ordinary differential equations

在Ｗ２＾１空间，给出了一阶线性常微分方程组初值问题解析解及相应的近似解，提出了适于计算机运算的求解方法，数值算例表明此方法是有效的。

The analytic solution for initial value problem of system of first order ordinary differential equations is presented in space W firstly. Furthermore, the algorithm suitable for calculating is obtained in this paper. The practical numerical examples demonstrate that the algorithm is, efficient.