8.117   ODE No. 1707

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

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

Mathematica: cpu = 0.072509 (sec), leaf count = 31 $$\left\{\{y(x)\to c_2{e}^{-\frac{bx}{a}-\frac{c_1{e}^{-ax}}{a}}\}\right\}$$

Maple: cpu = 1.545 (sec), leaf count = 39 $$\{y\left(x\right)=1{\mathrm{e}}^{\frac{{\mathrm{e}}^{-ax}\mathit{\_}\mathit{C}\mathit{1}}{a}}{\mathrm{e}}^{\frac{b}{a^2}}{\left({\mathrm{e}}^{\frac{bx}{a}}\right)}^{-1}{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{2}}{a}}\right)}^{-1}\}$$