\[ a y(x)^3+b y(x)^2+c y(x)+4 y(x) y''(x)-3 y'(x)^2=0 \] ✓ Mathematica : cpu = 59.2399 (sec), leaf count = 1
\[\text {$\$$Aborted}\]
✓ Maple : cpu = 0.426 (sec), leaf count = 87
\[ \left \{ \int ^{y \left ( x \right ) }\!-3\,{\frac {1}{\sqrt {9\,{\it \_C1}\,{{\it \_a}}^{3/2}-3\,a{{\it \_a}}^{3}-9\,b{{\it \_a}}^{2}+9\,c{\it \_a}}}}{d{\it \_a}}-x-{\it \_C2}=0,\int ^{y \left ( x \right ) }\!3\,{\frac {1}{\sqrt {9\,{\it \_C1}\,{{\it \_a}}^{3/2}-3\,a{{\it \_a}}^{3}-9\,b{{\it \_a}}^{2}+9\,c{\it \_a}}}}{d{\it \_a}}-x-{\it \_C2}=0,y \left ( x \right ) =0 \right \} \]