两类新的Abel型微分方程的可积判据

Two Types of New Integral Criterion on Abel Differential Equation

借助变量替换法、交换变量位置法及复合函数求导法则,构造出两类新的Abel型微分方程,论证它们的可积性,提供可积的判据,从而推广有关文献的结论,扩大微分方程的可积范围．

Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law. Integral of them is proved ,the criterion of the integrable differential equation is given. It extends conclusion in relevant documents, and extends the range of integrable differential equation.