\[ a+x^3 y'(x)^2+x^2 y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.959435 (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 = 0.445 (sec), leaf count = 66
\[\left \{y \left (x \right ) = -\frac {2 \sqrt {a x}}{x}, y \left (x \right ) = \frac {2 \sqrt {a x}}{x}, y \left (x \right ) = \frac {4 a x +c_{1}^{2}}{2 c_{1} x}, y \left (x \right ) = \frac {c_{1}^{2} x +4 a}{2 c_{1} x}\right \}\]