\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \right ) {{\rm e}^{x}}=0} \]
Mathematica: cpu = 0.535568 (sec), leaf count = 134 \[ \left \{\text {Solve}\left [-\frac {-e^{x/2} \sqrt {4 y(x)+e^x}-4 y(x) \log \left (\sqrt {4 y(x)+e^x}+e^{x/2}\right )+e^x}{2 y(x)}=c_1,y(x)\right ],\text {Solve}\left [2 \log (y(x))-\frac {e^{x/2} \sqrt {4 y(x)+e^x}+4 y(x) \log \left (\sqrt {4 y(x)+e^x}+e^{x/2}\right )+e^x}{2 y(x)}=c_1,y(x)\right ]\right \} \]
Maple: cpu = 1.202 (sec), leaf count = 115 \[ \left \{ -{\frac {{{\rm e}^{x}}}{2\,y \left ( x \right ) }}+\ln \left ( y \left ( x \right ) \right ) +2\,{\it Artanh} \left ( \sqrt {{{\rm e}^{2 \,x}}+4\,y \left ( x \right ) {{\rm e}^{x}}}{{\rm e}^{-x}} \right ) +{ \frac {1}{2\,y \left ( x \right ) }\sqrt {{{\rm e}^{2\,x}}+4\,y \left ( x \right ) {{\rm e}^{x}}}}-{\it \_C1}=0,-2\,{\it Artanh} \left ( \sqrt {{ {\rm e}^{2\,x}}+4\,y \left ( x \right ) {{\rm e}^{x}}}{{\rm e}^{-x}} \right ) -{\frac {1}{2\,y \left ( x \right ) }\sqrt {{{\rm e}^{2\,x}}+4 \,y \left ( x \right ) {{\rm e}^{x}}}}-{\frac {{{\rm e}^{x}}}{2\,y \left ( x \right ) }}+\ln \left ( y \left ( x \right ) \right ) -{\it \_C1}=0 \right \} \]