几类一阶常微分方程的可积判据

Integral criteria of some kinds of first-order differetial equations

提出几类一阶常微分方程 ,通过变量替换法化为齐次微分方程 ,再借助交换变量位置法 ,论证它们的可积判据 ,给出它们通积分的表达式 。

This paper puts forth some kinds of first-order differential equations,wich are tronsformed into homogeneous differential equations.It proves their integral criteria and gives thier expression of integral by substitution of variables position method.Thus expanding thier scope of uses.