2.749   ODE No. 749

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

$$y^{\prime }(x)=\frac{x(x-y(x){)}^2(y(x)+x{)}^2}{y(x)}$$ ✓ Mathematica : cpu = 0.148255 (sec), leaf count = 126

$$\{\{y(x)\to -\frac{\sqrt{x^2+x^2{e}^{2x^2+4c_1}-e^{2x^2+4c_1}+1}}{\sqrt{1+e^{2x^2+4c_1}}}\},\{y(x)\to \frac{\sqrt{x^2+x^2{e}^{2x^2+4c_1}-e^{2x^2+4c_1}+1}}{\sqrt{1+e^{2x^2+4c_1}}}\}\}$$ ✓ Maple : cpu = 0.25 (sec), leaf count = 192

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