2.345   ODE No. 345

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

$$x{y}^{\prime }(x)(2x^{2}y(x)\log (y(x))+1)-2y(x)=0$$ ✓ Mathematica : cpu = 0.04329 (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 = 0.066 (sec), leaf count = 36

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2\mathit{\_}\mathit{Z}{x}^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-x^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2x^2\mathit{\_}\mathit{C}\mathit{1}+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}})}\}$$