3.207   ODE No. 207

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

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

Mathematica: cpu = 0.010501 (sec), leaf count = 47 $$\{\{y(x)\to -\sqrt{c_1{e}^{-2x}-4x^2}\},\{y(x)\to \sqrt{c_1{e}^{-2x}-4x^2}\}\}$$

Maple: cpu = 0.016 (sec), leaf count = 37 $$\{y\left(x\right)=\sqrt{{\mathrm{e}}^{-2x}\mathit{\_}\mathit{C}\mathit{1}-4x^2},y\left(x\right)=-\sqrt{{\mathrm{e}}^{-2x}\mathit{\_}\mathit{C}\mathit{1}-4x^2}\}$$