8.142   ODE No. 1732

$$\boxed{{\displaystyle 2\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-4(x+2y\left(x\right)){\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 1.657711 (sec), leaf count = 35 $$\text{DSolve}[2y(x)y^{″}(x)-y^{\prime }(x{)}^2-4(2y(x)+x)y(x{)}^2=0,y(x),x]$$

Maple: cpu = 1.825 (sec), leaf count = 0 $$\text{could not solve}$$