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 = 0.0051428 (sec), leaf count = 15

\[\left \{\left \{y(x)\to c_1 \left (-c_1+x+1\right )\right \}\right \}\]

Maple : cpu = 0.648 (sec), leaf count = 22

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