一类微分方程的积分因子存在定理

Existential Theorem of the Integrating Factor on One Type of Differential Equation

对于一阶微分方程M(x,y)dx+N(x,y)dy=0,求积分因子是一种有效的求解途径.本文给出了一类积分因子的存在定理和计算公式.

For one order differential equation M(x,y)dx+N(x,y)dy=0, the method of seeking an integrating factor is a valid way of finding the solution. The existential Theorem and the calculating formula of one type integrating factor are given in this paper.