2.263   ODE No. 263

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

$$2x^3+3x^{2}y(x{)}^2+y(x)y^{\prime }(x)+7=0$$ ✓ Mathematica : cpu = 0.0406005 (sec), leaf count = 121

$$\{\{y(x)\to -\sqrt{c_1{e}^{-2x^3}+\frac{202^{2/3}{e}^{-2x^3}x\mathrm{\Gamma }(\frac{1}{3},-2x^3)}{9\sqrt[3]{-x^3}}-\frac{2x}{3}}\},\{y(x)\to \sqrt{c_1{e}^{-2x^3}+\frac{202^{2/3}{e}^{-2x^3}x\mathrm{\Gamma }(\frac{1}{3},-2x^3)}{9\sqrt[3]{-x^3}}-\frac{2x}{3}}\}\}$$

✓ Maple : cpu = 0.147 (sec), leaf count = 207

$$\{y\left(x\right)=-\frac{2^{\frac{2}{3}}}{18\mathrm{\Gamma }\left(2/3\right)}\sqrt{-3\sqrt[3]{2}\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{-x^3}(-27{\mathrm{e}}^{-2x^3}\mathit{\_}\mathit{C}\mathit{1}\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{2}\sqrt[3]{-x^3}+80{\mathrm{e}}^{-2x^3}x\pi \sqrt{3}+18x\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{2}\sqrt[3]{-x^3}-120{\mathrm{e}}^{-2x^3}x\mathrm{\Gamma }(1/3,-2x^3)\mathrm{\Gamma }\left(2/3\right))}\frac{1}{\sqrt[3]{-x^3}},y\left(x\right)=\frac{2^{\frac{2}{3}}}{18\mathrm{\Gamma }\left(2/3\right)}\sqrt{-3\sqrt[3]{2}\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{-x^3}(-27{\mathrm{e}}^{-2x^3}\mathit{\_}\mathit{C}\mathit{1}\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{2}\sqrt[3]{-x^3}+80{\mathrm{e}}^{-2x^3}x\pi \sqrt{3}+18x\mathrm{\Gamma }\left(2/3\right)\sqrt[3]{2}\sqrt[3]{-x^3}-120{\mathrm{e}}^{-2x^3}x\mathrm{\Gamma }(1/3,-2x^3)\mathrm{\Gamma }\left(2/3\right))}\frac{1}{\sqrt[3]{-x^3}}\}$$