8.134   ODE No. 1724

\[ \boxed { \left ( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) \right ) \left ( x-y \left ( x \right ) \right ) +2\, \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +1 \right ) =0} \]

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

Mathematica: cpu = 0.198525 (sec), leaf count = 38 \[ \left \{\left \{y(x)\to -\frac {e^{-c_1} \left (e^{c_1} c_2 x+e^{c_1} c_2^2+1\right )}{c_2+x}\right \}\right \} \]

Maple: cpu = 1.919 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) ={\frac {{{\it \_C2}}^{2}-{\it \_C2}\,x+{ \it \_C1}}{{\it \_C2}-x}} \right \} \]