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 = 0.167045 (sec), leaf count = 24

\[\left \{\left \{y(x)\to \frac {x \left (2 c_1 x+1\right )}{2 c_1+x^2}\right \}\right \}\]

Maple : cpu = 0.14 (sec), leaf count = 18

\[ \left \{ y \left ( x \right ) ={\frac {x \left ( x+{\it \_C1} \right ) }{{\it \_C1}\,{x}^{2}+1}} \right \} \]