  The Chiellini integrability condition of the first order first kind Abel
equation $dy/dx=f(x)y^2+g(x)y^3$ is extended to the case of the general Abel
equation of the form $dy/dx=a(x)+b(x)y+f(x)y^{\alpha -1}+g(x)y^{\alpha}$, where
$\alpha \in \Re$, and $\alpha > 1$. In the case $\alpha =2$ the generalized
Abel equations reduces to a Riccati type equation, for which a Chiellini type
integrability condition is obtained.
