2.344   ODE No. 344

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) (\log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))+2 \text {Global$\grave { }$x}-1)-2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.019596 (sec), leaf count = 23

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to -\frac {W\left (-2 c_1 e^{-2 \text {Global$\grave { }$x}}\right )}{2 c_1}\right \}\right \}\]

Maple : cpu = 0.026 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\it lambertW} \left ( -2\,{{\rm e}^{-2\,x}}{\it \_C1} \right ) -2\,x}} \right \} \]