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 = 0.132207 (sec), leaf count = 80

$$\{\{y(x)\to \frac{1}{6}(-4x-\frac{\sqrt{2}\sqrt{-x^4+3e^{4c_1}}}{x})\},\{y(x)\to \frac{1}{6}(-4x+\frac{\sqrt{2}\sqrt{-x^4+3e^{4c_1}}}{x})\}\}$$ ✓ Maple : cpu = 0.053 (sec), leaf count = 63

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