8.113   ODE No. 1703

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

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

Mathematica: cpu = 0.094512 (sec), leaf count = 63 $$\{\{y(x)\to e^{\frac{1}{2}(e^{c_2+x}-c_1{e}^{-c_2-x})}\},\{y(x)\to e^{\frac{1}{2}(e^{-c_2-x}-c_1{e}^{c_2+x})}\}\}$$

Maple: cpu = 0.047 (sec), leaf count = 25 $$\{y\left(x\right)={\mathrm{e}}^{-\frac{{\mathrm{e}}^{2x}\mathit{\_}\mathit{C}\mathit{1}}{2{\mathrm{e}}^x}}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{2}}{2{\mathrm{e}}^x}}\}$$