2.1724   ODE No. 1724

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

\[ 2 y'(x) \left (y'(x)+1\right )+(x-y(x)) y''(x)=0 \] Mathematica : cpu = 0.339227 (sec), leaf count = 38

\[\left \{\left \{y(x)\to -\frac {e^{-c_1} \left (e^{c_1} c_2 x+1+e^{c_1} c_2{}^2\right )}{x+c_2}\right \}\right \}\] Maple : cpu = 3.693 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\frac {{{\it \_C2}}^{2}-{\it \_C2}\,x+{\it \_C1}}{{\it \_C2}-x}} \right \} \]