3.182   ODE No. 182

$$\boxed{{\displaystyle x(x^3-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2x{\left(y\left(x\right)\right)}^2+y\left(x\right)+x^2=0}}$$

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

Mathematica: cpu = 0.175022 (sec), leaf count = 96 $$\left\{\{y(x)\to -\frac{(x^3-1)(\frac{2c_1{x}^2}{{(1-x^3)}^{5/3}}+\frac{x}{{(1-x^3)}^{2/3}}+\frac{x^4}{{(1-x^3)}^{5/3}})}{2(\frac{c_1}{{(1-x^3)}^{2/3}}+\frac{x^2}{2{(1-x^3)}^{2/3}})}\}\right\}$$

Maple: cpu = 0.093 (sec), leaf count = 18 $$\{y\left(x\right)=\frac{x(x+\mathit{\_}\mathit{C}\mathit{1})}{\mathit{\_}\mathit{C}\mathit{1}{x}^2+1}\}$$