2.255   ODE No. 255

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

$$x(xy(x)-3)y^{\prime }(x)+xy(x{)}^2-y(x)=0$$ ✓ Mathematica : cpu = 4.97154 (sec), leaf count = 30

$$\left\{\{y(x)\to -\frac{3W\left(e^{\frac{9c_1}{2^{2/3}}-1}{x}^{2/3}\right)}{x}\}\right\}$$

✓ Maple : cpu = 0.207 (sec), leaf count = 74

$$\{y\left(x\right)=-3\frac{\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(2/3\sqrt[3]{-1/8x^2}\mathit{\_}\mathit{C}\mathit{1}\right)}{x},y\left(x\right)=-3\frac{\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(1/3\sqrt[3]{-1/8x^2}\mathit{\_}\mathit{C}\mathit{1}(i\sqrt{3}-1)\right)}{x},y\left(x\right)=-3\frac{\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-1/3\sqrt[3]{-1/8x^2}\mathit{\_}\mathit{C}\mathit{1}(i\sqrt{3}+1))}{x}\}$$