\[ -\left (-a+x^3+y(x)^3\right ) y'(x)+x^2 y(x)+x y(x)^2 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0679216 (sec), leaf count = 36
\[\left \{y(x)\to \frac {\sqrt [3]{c_1} \sqrt [3]{a-x^3+c_1 x^3}}{\sqrt [3]{-1+c_1}}\right \}\] ✓ Maple : cpu = 0.839 (sec), leaf count = 247
\[y \relax (x ) = \left (x^{3}+a -2 x \sqrt {a x}\right )^{\frac {1}{3}}\]