3.165   ODE No. 165

\[ \boxed { x \left ( 2\,x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}- \left ( 4\,x+1 \right ) y \left ( x \right ) +4\,x=0} \]

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

Mathematica: cpu = 0.016502 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to \frac {(1-2 x) x}{c_1-x}+1\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 17 \[ \left \{ y \left ( x \right ) ={\frac {2\,{x}^{2}+{\it \_C1}}{x+{\it \_C1}}} \right \} \]