3.3.20 Reduced or special Riccati ode $y^{\prime }=a{x}^n+b{y}^2$

This is special case of the general Riccati ode $y^{\prime }=c_0\left(x\right)+c_1\left(x\right)y+c_2\left(x\right)y^2$ where now $c_0\left(x\right)=a{x}^n$ and $c_2\left(x\right)=b$ where $a,b,n$ are constants. The reduced Riccati ode do not have $y$ term in it. Only $x$ and $y^2$ in the RHS of the ode.