2.301   ODE No. 301

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

$$(x^2+6xy(x{)}^2)y^{\prime }(x)-y(x)(3y(x{)}^2-x)=0$$ ✓ Mathematica : cpu = 0.125698 (sec), leaf count = 64

$$\{\{y(x)\to -\frac{\sqrt{x}\sqrt{W\left(\frac{6e^{3c_1}}{x^3}\right)}}{\sqrt{6}}\},\{y(x)\to \frac{\sqrt{x}\sqrt{W\left(\frac{6e^{3c_1}}{x^3}\right)}}{\sqrt{6}}\}\}$$ ✓ Maple : cpu = 0.174 (sec), leaf count = 25

$$\{y\left(x\right)=\frac{1}{x}{\mathrm{e}}^{-\frac{1}{2}\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(6\frac{{\mathrm{e}}^{3\mathit{\_}\mathit{C}\mathit{1}}}{x^3}\right)+\frac{3\mathit{\_}\mathit{C}\mathit{1}}{2}}\}$$