3.399   ODE No. 399

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

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

Mathematica: cpu = 0.003500 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to c_1 x+2 c_1^2-c_1\right \}\right \} \]

Maple: cpu = 0.515 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+{\frac {x}{4}}-{ \frac {1}{8}},y \left ( x \right ) =2\,{{\it \_C1}}^{2}+{\it \_C1}\,x-{ \it \_C1} \right \} \]