2.927   ODE No. 927

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

$$y^{\prime }(x)=-\frac{1}{8}x(12e^{-x^2}{x}^{2}y(x{)}^2+8e^{-x^2}{x}^{2}y(x)+8e^{-x^2}{x}^2-8e^{-x^2}+e^{-3x^2}{x}^6-6e^{-2x^2}{x}^{4}y(x)-2e^{-2x^2}{x}^4-8y(x{)}^3-8y(x{)}^2-8)$$ ✓ Mathematica : cpu = 0.153623 (sec), leaf count = 100

$$\text{Solve}[174\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{-\frac{3}{2}{e}^{-x^2}{x}^3+3xy(x)+x}{\sqrt[3]{29}\sqrt[3]{x^3}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]+18c_1+{29}^{2/3}{\left(x^3\right)}^{2/3}=0,y(x)]$$

✓ Maple : cpu = 0.134 (sec), leaf count = 68

$$\{y\left(x\right)=\frac{58\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x^2-162{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+6\mathit{\_}\mathit{C}\mathit{1})+(9x^2-6{\mathrm{e}}^{x^2}){\mathrm{e}}^{-x^2}}{18{\mathrm{e}}^{-x^2}{\mathrm{e}}^{x^2}}\}$$