一类一阶常微分方程的可积判据

Integral criterior to one kind of first-order differential equation

借助变量替换及分部积分法，给出一类一阶常微分方程的可积充分条件，提供了通解的表达式，获得简捷的求解方法，所得结论是相应文献结果的推广。

By means of variable substitution and partial integration,this paper gives the integral conditions of one kind of first- order differential equation and puts forth the expression of general solution,and gets the simplified method of seeking solutions.The conclusion is drawn from amplification of relative references.