2.377   ODE No. 377

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

\[ y'(x)^2+(x-2) y'(x)-y(x)+1=0 \] Mathematica : cpu = 0.00504519 (sec), leaf count = 19

\[\left \{\left \{y(x)\to c_1 x+c_1^2-2 c_1+1\right \}\right \}\]

Maple : cpu = 0.624 (sec), leaf count = 25

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