3.256   ODE No. 256

$$\boxed{{\displaystyle x^2(-1+y\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(x-1)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.019502 (sec), leaf count = 21 $$\left\{\{y(x)\to -W\left(x(-e^{\frac{1}{x}-c_1})\right)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 31 $$\{y\left(x\right)={\mathrm{e}}^{\frac{x\ln \left(x\right)-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-x{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}+x^{-1}})x+\mathit{\_}\mathit{C}\mathit{1}x+1}{x}}\}$$