\[ \boxed { a \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+b{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +cxy \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.686 (sec), leaf count = 499 \[ \left \{ \int _{{\it \_b}}^{x}\!-{1 \left ( -b{{\it \_a}}^{2}+\sqrt {{{ \it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,acy \left ( x \right ) } \right ) \left ( -b{{\it \_a}}^{3}+\sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\, acy \left ( x \right ) }{\it \_a}-6\,ay \left ( x \right ) \right ) ^{-1}} \,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) }\!2\,{\frac {a}{-b{x}^{3 }+\sqrt {{b}^{2}{x}^{4}-4\,{\it \_f}\,acx}x-6\,a{\it \_f}}}-\int _{{ \it \_b}}^{x}\!{1 \left ( -b{{\it \_a}}^{2}+\sqrt {{{\it \_a}}^{4}{b}^{ 2}-4\,{\it \_a}\,{\it \_f}\,ac} \right ) \left ( -2\,{\frac {{{\it \_a} }^{2}ac}{\sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}}}- 6\,a \right ) \left ( -b{{\it \_a}}^{3}+\sqrt {{{\it \_a}}^{4}{b}^{2}-4 \,{\it \_a}\,{\it \_f}\,ac}{\it \_a}-6\,a{\it \_f} \right ) ^{-2}}+2\,{ \frac {ac{\it \_a}}{ \left ( -b{{\it \_a}}^{3}+\sqrt {{{\it \_a}}^{4}{b }^{2}-4\,{\it \_a}\,{\it \_f}\,ac}{\it \_a}-6\,a{\it \_f} \right ) \sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}}}\,{\rm d}{ \it \_a}{d{\it \_f}}+{\it \_C1}=0,\int _{{\it \_b}}^{x}\!-{1 \left ( b{{ \it \_a}}^{2}+\sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,acy \left ( x \right ) } \right ) \left ( b{{\it \_a}}^{3}+\sqrt {{{\it \_a}}^{4}{b}^ {2}-4\,{\it \_a}\,acy \left ( x \right ) }{\it \_a}+6\,ay \left ( x \right ) \right ) ^{-1}}\,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) } \!-2\,{\frac {a}{b{x}^{3}+\sqrt {{b}^{2}{x}^{4}-4\,{\it \_f}\,acx}x+6 \,a{\it \_f}}}-\int _{{\it \_b}}^{x}\!{1 \left ( b{{\it \_a}}^{2}+\sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac} \right ) \left ( - 2\,{\frac {{{\it \_a}}^{2}ac}{\sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}}}+6\,a \right ) \left ( b{{\it \_a}}^{3}+\sqrt {{{ \it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}{\it \_a}+6\,a{\it \_f} \right ) ^{-2}}+2\,{\frac {ac{\it \_a}}{ \left ( b{{\it \_a}}^{3}+ \sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}{\it \_a}+6 \,a{\it \_f} \right ) \sqrt {{{\it \_a}}^{4}{b}^{2}-4\,{\it \_a}\,{\it \_f}\,ac}}}\,{\rm d}{\it \_a}{d{\it \_f}}+{\it \_C1}=0 \right \} \]