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 = 0.0031212 (sec), leaf count = 19

\[\left \{\left \{y(x)\to c_1 x+1+c_1{}^2-2 c_1\right \}\right \}\] Maple : cpu = 0.013 (sec), leaf count = 24

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