2.343   ODE No. 343

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

\[ y'(x) (\log (y(x))+x)-1=0 \] Mathematica : cpu = 0.124695 (sec), leaf count = 35

\[\text {Solve}\left [x=e^{y(x)} \left (\text {Ei}(-y(x))-e^{-y(x)} \log (y(x))\right )+c_1 e^{y(x)},y(x)\right ]\] Maple : cpu = 0.063 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -x-{\it \_Z}-{{\rm e}^{{{\rm e}^{{\it \_Z}}}}}{\it Ei} \left ( 1,{{\rm e}^{{\it \_Z}}} \right ) +{{\rm e}^{{{\rm e}^{{\it \_Z}}}}}{\it \_C1} \right ) }} \right \} \]