2.207   ODE No. 207

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

$$y(x)y^{\prime }(x)+y(x{)}^2+4x(x+1)=0$$ ✓ Mathematica : cpu = 0.0121716 (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 = 0.023 (sec), leaf count = 37

$$\{y\left(x\right)=\sqrt{{\mathrm{e}}^{-2x}\mathit{\_}\mathit{C}\mathit{1}-4x^2},y\left(x\right)=-\sqrt{{\mathrm{e}}^{-2x}\mathit{\_}\mathit{C}\mathit{1}-4x^2}\}$$