\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +a{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +b{x}^{5-2\,a}{{\rm e}^{y \left ( x \right ) }}=0} \]
Mathematica: cpu = 0.640581 (sec), leaf count = 32 \[ \text {DSolve}\left [b x^{5-2 a} e^{y(x)}+a y'(x)+x y''(x)=0,y(x),x\right ] \]
Maple: cpu = 0.983 (sec), leaf count = 124 \[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_a}+2\,a \left ( \int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{ \it \_C1} \right ) -6\,\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}-6\,{\it \_C1},[ \left \{ {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) = \left ( b{{\rm e}^{{\it \_a} }}+2\,{a}^{2}-8\,a+6 \right ) \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{3}+ \left ( a-1 \right ) \left ( {\it \_b} \left ( { \it \_a} \right ) \right ) ^{2} \right \} , \left \{ {\it \_a}=y \left ( x \right ) -2\,a\ln \left ( x \right ) +6\,\ln \left ( x \right ) ,{\it \_b} \left ( {\it \_a} \right ) = \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,a+6 \right ) ^{-1} \right \} , \left \{ x={{\rm e}^ {\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}},y \left ( x \right ) ={\it \_a}+2\,a \left ( \int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1} \right ) -6\, \int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}-6\,{\it \_C1} \right \} ] \right ) \right \} \]