2.182   ODE No. 182

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

$$(x^3-1)x{y}^{\prime }(x)+x^2-2xy(x{)}^2+y(x)=0$$ ✓ Mathematica : cpu = 0.171584 (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 = 0.132 (sec), leaf count = 18

$$\{y\left(x\right)=\frac{x(x+\mathit{\_}\mathit{C}\mathit{1})}{\mathit{\_}\mathit{C}\mathit{1}{x}^2+1}\}$$