3.165   ODE No. 165

$$\boxed{{\displaystyle x(2x-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+{\left(y\left(x\right)\right)}^2-(4x+1)y\left(x\right)+4x=0}}$$

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

Mathematica: cpu = 0.016502 (sec), leaf count = 22 $$\left\{\{y(x)\to \frac{(1-2x)x}{c_1-x}+1\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 17 $$\{y\left(x\right)=\frac{2x^2+\mathit{\_}\mathit{C}\mathit{1}}{x+\mathit{\_}\mathit{C}\mathit{1}}\}$$