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 = 0.137435 (sec), leaf count = 22

\[\left \{\left \{y(x)\to 1+\frac {(1-2 x) x}{-x+c_1}\right \}\right \}\] Maple : cpu = 0.02 (sec), leaf count = 17

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