2.182   ODE No. 182

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

\[ \left (x^3-1\right ) x y'(x)+x^2-2 x y(x)^2+y(x)=0 \] Mathematica : cpu = 0.240075 (sec), leaf count = 96

\[\left \{\left \{y(x)\to -\frac {\left (x^3-1\right ) \left (\frac {x}{\left (1-x^3\right )^{2/3}}+\frac {x^4}{\left (1-x^3\right )^{5/3}}+\frac {2 c_1 x^2}{\left (1-x^3\right )^{5/3}}\right )}{2 \left (\frac {x^2}{2 \left (1-x^3\right )^{2/3}}+\frac {c_1}{\left (1-x^3\right )^{2/3}}\right )}\right \}\right \}\] Maple : cpu = 0.119 (sec), leaf count = 18

\[\left \{y \left (x \right ) = \frac {\left (c_{1}+x \right ) x}{c_{1} x^{2}+1}\right \}\]