8.227   ODE No. 1817

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

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

Mathematica: cpu = 14.420831 (sec), leaf count = 31 $$\text{DSolve}[4y^{\prime }(x{)}^2+(x{y}^{\prime }(x)-y(x))y^{″}(x)=0,y(x),x]$$

Maple: cpu = 0.156 (sec), leaf count = 40 $$\{y\left(x\right)={\mathrm{e}}^{{\int }^{\ln \left(x\right)}{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}-1){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{b}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2)}-1d\mathit{\_}\mathit{b}+\mathit{\_}\mathit{C}\mathit{2}}\}$$