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 = 0.0031209 (sec), leaf count = 20

\[\left \{\left \{y(x)\to c_1 x+2 c_1{}^2-c_1\right \}\right \}\] Maple : cpu = 0.015 (sec), leaf count = 22

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