\[ -a x^3+x y'(x)+x y(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.0199251 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \sqrt {a} x \tanh \left (\frac {1}{2} \left (2 \sqrt {a} c_1+\sqrt {a} x^2\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.039 (sec), leaf count = 24
\[ \left \{ y \left ( x \right ) =\tanh \left ( {\frac {{x}^{2}}{2}\sqrt {a}}+{\it \_C1}\,\sqrt {a} \right ) x\sqrt {a} \right \} \]