\[ a+x^3 y'(x)^2+x^2 y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.871131 (sec), leaf count = 123
\[\left \{\left \{y(x)\to -\frac {e^{-\frac {c_1}{2}} \left (x+2 a e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {e^{-\frac {c_1}{2}} \left (x+2 a e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to -\frac {e^{-\frac {c_1}{2}} \left (2 a x+e^{c_1}\right )}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {e^{-\frac {c_1}{2}} \left (2 a x+e^{c_1}\right )}{\sqrt {2} x}\right \}\right \}\] ✓ Maple : cpu = 0.61 (sec), leaf count = 66
\[ \left \{ y \left ( x \right ) =-2\,{\frac {\sqrt {ax}}{x}},y \left ( x \right ) =2\,{\frac {\sqrt {ax}}{x}},y \left ( x \right ) ={\frac {{{\it \_C1}}^{2}+4\,ax}{2\,{\it \_C1}\,x}},y \left ( x \right ) ={\frac {x{{\it \_C1}}^{2}+4\,a}{2\,{\it \_C1}\,x}} \right \} \]