3.111   ODE No. 111

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

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

Mathematica: cpu = 0.272535 (sec), leaf count = 55 $$\text{Solve}[-3x=\frac{2e^{\frac{1}{2}{(\frac{1}{y(x)}-3x)}^2}}{2c_1+\sqrt{2\pi }\text{erfi}\left(\frac{\frac{1}{y(x)}-3x}{\sqrt{2}}\right)},y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 54 $$\{\mathit{\_}\mathit{C}\mathit{1}-\frac{\frac{i}{3}}{x}{\mathrm{e}}^{\frac{{(3xy\left(x\right)-1)}^2}{2{\left(y\left(x\right)\right)}^2}}+\frac{\sqrt{\pi }\sqrt{2}}{2}\mathit{E}\mathit{r}\mathit{f}\left(\frac{(-i+3iy\left(x\right)x)\sqrt{2}}{2y\left(x\right)}\right)=0\}$$