3.308   ODE No. 308

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

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

Mathematica: cpu = 0.007001 (sec), leaf count = 55 $$\{\{y(x)\to 0\},\{y(x)\to -\frac{\sqrt{4c_1-x^2}}{\sqrt{2}}\},\{y(x)\to \frac{\sqrt{4c_1-x^2}}{\sqrt{2}}\}\}$$

Maple: cpu = 0.015 (sec), leaf count = 37 $$\{y\left(x\right)=0,y\left(x\right)=-\frac{1}{2}\sqrt{-2x^2+4\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=\frac{1}{2}\sqrt{-2x^2+4\mathit{\_}\mathit{C}\mathit{1}}\}$$