\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{r}-a \left ( y \left ( x \right ) \right ) ^{s}-b{x}^{{\frac {rs}{r-s}}}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.203 (sec), leaf count = 61 \[ \left \{ -\int _{{\it \_b}}^{y \left ( x \right ) }\! \left ( x \left ( r-s \right ) \sqrt [r]{a{{\it \_a}}^{s}+b{x}^{{\frac {rs}{r-s}}}}-r{\it \_a} \right ) ^{-1}\,{\rm d}{\it \_a} \left ( r-s \right ) +\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]