8.144   ODE No. 1734

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

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

Mathematica: cpu = 1.481688 (sec), leaf count = 37 $$\text{DSolve}[ay(x{)}^3+2y(x)y^{″}(x)-y^{\prime }(x{)}^2+2xy(x{)}^2+1=0,y(x),x]$$

Maple: cpu = 1.841 (sec), leaf count = 0 $$\text{could not solve}$$