2.246   ODE No. 246

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

$$x(3y(x)+2x)y^{\prime }(x)+3(y(x)+x{)}^2=0$$ ✓ Mathematica : cpu = 0.0312183 (sec), leaf count = 80

$$\{\{y(x)\to \frac{1}{6}(-\frac{\sqrt{2}\sqrt{3e^{4c_1}-x^4}}{x}-4x)\},\{y(x)\to \frac{1}{6}(\frac{\sqrt{2}\sqrt{3e^{4c_1}-x^4}}{x}-4x)\}\}$$

✓ Maple : cpu = 0.069 (sec), leaf count = 63

$$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}x}(-\frac{2x^2\mathit{\_}\mathit{C}\mathit{1}}{3}-\frac{1}{6}\sqrt{-2x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+6}),y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}x}(-\frac{2x^2\mathit{\_}\mathit{C}\mathit{1}}{3}+\frac{1}{6}\sqrt{-2x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+6})\}$$