2.317   ODE No. 317

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

$$(x^2+2xy(x{)}^3+xy(x))y^{\prime }(x)+y(x{)}^2-xy(x)=0$$ ✓ Mathematica : cpu = 0.323079 (sec), leaf count = 23

$$\text{Solve}[y(x{)}^2-\frac{x}{y(x)}+\log (y(x))+\log (x)=c_1,y(x)]$$ ✓ Maple : cpu = 0.103 (sec), leaf count = 29

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(x\right)+{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}-\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+x)}\}$$