2.261   ODE No. 261

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

\[ \left (2 x^2 y(x)-x\right ) y'(x)-2 x y(x)^2-y(x)=0 \] Mathematica : cpu = 0.712931 (sec), leaf count = 32

\[\left \{\left \{y(x)\to -\frac {1}{2 x W\left (\frac {e^{-1+\frac {9 c_1}{2^{2/3}}}}{x^2}\right )}\right \}\right \}\] Maple : cpu = 0.102 (sec), leaf count = 18

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