2.258   ODE No. 258

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

$$2x^{2}y(x)y^{\prime }(x)-2x^3-x^2+y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0977071 (sec), leaf count = 43

$$\{\{y(x)\to -\sqrt{x^2+c_1{e}^{\frac{1}{x}}}\},\{y(x)\to \sqrt{x^2+c_1{e}^{\frac{1}{x}}}\}\}$$ ✓ Maple : cpu = 0.018 (sec), leaf count = 33

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