3.258   ODE No. 258

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

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

Mathematica: cpu = 0.012502 (sec), leaf count = 43 $$\{\{y(x)\to -\sqrt{c_1{e}^{\frac{1}{x}}+x^2}\},\{y(x)\to \sqrt{c_1{e}^{\frac{1}{x}}+x^2}\}\}$$

Maple: cpu = 0.016 (sec), leaf count = 33 $$\{y\left(x\right)=\sqrt{{\mathrm{e}}^{x^{-1}}\mathit{\_}\mathit{C}\mathit{1}+x^2},y\left(x\right)=-\sqrt{{\mathrm{e}}^{x^{-1}}\mathit{\_}\mathit{C}\mathit{1}+x^2}\}$$