8.207   ODE No. 1797

$$\boxed{{\displaystyle 2x^{2}y\left(x\right)(-1+y\left(x\right))\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-x^2(3y\left(x\right)-1){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+2xy\left(x\right)(-1+y\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(a{\left(y\left(x\right)\right)}^2+b){(-1+y\left(x\right))}^3+cx{\left(y\left(x\right)\right)}^2(-1+y\left(x\right))+d{x}^2{\left(y\left(x\right)\right)}^2(1+y\left(x\right))=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 23.559992 (sec), leaf count = 91 $$\text{DSolve}[(y(x)-1{)}^3(ay(x{)}^2+b)+cxy(x{)}^2(y(x)-1)+d{x}^{2}y(x{)}^2(y(x)+1)+2x^{2}y(x)(y(x)-1)y^{″}(x)-x^2(3y(x)-1)y^{\prime }(x{)}^2+2xy(x)(y(x)-1)y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 5.881 (sec), leaf count = 0 $$\text{could not solve}$$