8.108   ODE No. 1698

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

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

Mathematica: cpu = 0.039505 (sec), leaf count = 72 $$\{\{y(x)\to -\frac{\sqrt{a{x}^3+3b{x}^2+3c_{2}x+6c_1}}{\sqrt{3}}\},\{y(x)\to \frac{\sqrt{a{x}^3+3b{x}^2+3c_{2}x+6c_1}}{\sqrt{3}}\}\}$$

Maple: cpu = 1.669 (sec), leaf count = 0 $$\text{could not solve}$$