2.379   ODE No. 379

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

\[ y'(x)^2-(x+1) y'(x)+y(x)=0 \] Mathematica : cpu = 0.00507623 (sec), leaf count = 18

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

Maple : cpu = 0.602 (sec), leaf count = 27

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