3.442   ODE No. 442

$$\boxed{{\displaystyle x^2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+(x^{2}y\left(x\right)-2xy\left(x\right)+x^3)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+({\left(y\left(x\right)\right)}^2-x^{2}y\left(x\right))(1-x)=0}}$$

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

Mathematica: cpu = 0.007501 (sec), leaf count = 28 $$\{\{y(x)\to c_1{e}^{-x}x\},\{y(x)\to c_{1}x-x^2\}\}$$

Maple: cpu = 0.0 (sec), leaf count = 21 $$\{y\left(x\right)=(-x+\mathit{\_}\mathit{C}\mathit{1})x,y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x}x\}$$