2.165   ODE No. 165

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

\[ x (2 x-1) y'(x)+y(x)^2-(4 x+1) y(x)+4 x=0 \] Mathematica : cpu = 0.111632 (sec), leaf count = 22

\[\left \{\left \{y(x)\to 1+\frac {(1-2 x) x}{-x+c_1}\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 17

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