两个未知函数的一阶线性变系数常微分方程组的一般解

General Solutions of linear Ordinary Differential Equations of Variable Coefficients of Order I for Two Unknown Functions

本文证明了,若A、B为一阶线性变系数常微分算子,则必定存在线性变系数常微分算子E、F,使得AE=BF成立,并给出了E、F的计算公式。

This paper proves, if A and B are both linear variable coefficients ordinary differential operators of order I, then there must exist two linear ordinary differential operators E and F, Forming AE = BF. The computing formulas of C and D are given in this paper.