3.295   ODE No. 295

$$\boxed{{\displaystyle x({\left(y\left(x\right)\right)}^2+xy\left(x\right)-x^2)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-{\left(y\left(x\right)\right)}^3+x{\left(y\left(x\right)\right)}^2+x^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.036505 (sec), leaf count = 31 $$\text{Solve}[\frac{x}{y(x)}+\frac{y(x)}{x}+\log \left(\frac{y(x)}{x}\right)=c_1-2\log (x),y(x)]$$

Maple: cpu = 0.141 (sec), leaf count = 29 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}({\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(x\right)+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1)}x\}$$