\[ y'(x)=\frac {e^{-x} y(x) \left (x^2 y(x) \log (2 x)-e^x-x \log (2 x)\right )}{x} \] ✓ Mathematica : cpu = 0.11635 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \frac {2^{e^{-x}}}{x \left (c_1 x^{-e^{-x}} e^{\text {Ei}(-x)}+2^{e^{-x}}\right )}\right \}\right \}\]
✓ Maple : cpu = 0.155 (sec), leaf count = 34
\[ \left \{ y \left ( x \right ) = \left ( {2}^{-{{\rm e}^{-x}}}{\it \_C1}\,{x}^{-{{\rm e}^{-x}}+1}{{\rm e}^{-{\it Ei} \left ( 1,x \right ) }}+x \right ) ^{-1} \right \} \]