3.345   ODE No. 345

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

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

Mathematica: cpu = 0.041005 (sec), leaf count = 35 $$\text{Solve}[\frac{y(x)}{x^2}+2(\frac{1}{2}y(x{)}^2\log (y(x))-\frac{y(x{)}^2}{4})=c_1,y(x)]$$

Maple: cpu = 0.063 (sec), leaf count = 36 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2\mathit{\_}\mathit{Z}{x}^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-x^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2x^2\mathit{\_}\mathit{C}\mathit{1}+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}})}\}$$