\[ \boxed { x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+4\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 31.055944 (sec), leaf count = 80 \[ \text {Solve}\left [\left \{x=-\frac {2 (2 \text {K$\$$1211948}-y(\text {K$\$$1211948}))}{\text {K$\$$1211948}^2},y(x)=c_1 e^{-4 \left (\frac {1}{2} \log (2-\text {K$\$$1211948})-\frac {\log (\text {K$\$$1211948})}{2}\right )}+4 e^{-4 \left (\frac {1}{2} \log (2-\text {K$\$$1211948})-\frac {\log (\text {K$\$$1211948})}{2}\right )} \left (\frac {2}{\text {K$\$$1211948}}+\log (\text {K$\$$1211948})\right )\right \},\{y(x),\text {K$\$$1211948}\}\right ] \]
Maple: cpu = 0.546 (sec), leaf count = 64 \[ \left \{ y \left ( x \right ) ={\frac {x{{\rm e}^{2\,{\it RootOf} \left ( -x{{\rm e}^{2\,{\it \_Z}}}+4\,x{{\rm e}^{{\it \_Z}}}-4\,{ {\rm e}^{{\it \_Z}}}+{\it \_C1}+8\,{\it \_Z}-4\,x \right ) }}}{2}}+2\,{ {\rm e}^{{\it RootOf} \left ( -x{{\rm e}^{2\,{\it \_Z}}}+4\,x{{\rm e}^{ {\it \_Z}}}-4\,{{\rm e}^{{\it \_Z}}}+{\it \_C1}+8\,{\it \_Z}-4\,x \right ) }} \right \} \]