2.399   ODE No. 399

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

\[ 2 y'(x)^2+(x-1) y'(x)-y(x)=0 \] Mathematica : cpu = 0.00513094 (sec), leaf count = 20

\[\left \{\left \{y(x)\to c_1 x+2 c_1^2-c_1\right \}\right \}\]

Maple : cpu = 0.022 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+{\frac {x}{4}}-{\frac {1}{8}},y \left ( x \right ) =2\,{{\it \_C1}}^{2}+{\it \_C1}\,x-{\it \_C1} \right \} \]