We develop a one step matrix method in order to obtain approximate solutions of first order systems and non-linear ordinary differential equations, reducible to first order systems. We find a sequence of such solutions that converge to the exact solution. We study the precision, in terms of the local error, of the method by applying it to different well known examples. The advantage of the method over others widely used lies on the simplicity of its implementation.

翻译：我们开发了一步矩阵方法,以获得一流系统和非线性普通差分方程的近似解决办法,可被简化为一流系统;我们找到一系列与确切解决办法相趋同的解决方案;我们从地方错误的角度研究该方法的准确性,将它应用到不同众所周知的例子;该方法优于其他广泛使用的方法的优势在于其实施简单。