\[ a+x y'(x)^3-y(x) y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0163515 (sec), leaf count = 40
\[\left \{\left \{y(x)\to \frac {3 \left (\sqrt {a} x\right )^{2/3}}{2^{2/3}}\right \},\left \{y(x)\to \frac {a+c_1{}^3 x}{c_1{}^2}\right \}\right \}\] ✓ Maple : cpu = 0.025 (sec), leaf count = 76
\[ \left \{ y \left ( x \right ) ={\frac {x{{\it \_C1}}^{3}+a}{{{\it \_C1}}^{2}}},y \left ( x \right ) ={\frac {3\,\sqrt [3]{2}}{2}\sqrt [3]{a{x}^{2}}},y \left ( x \right ) ={\frac {3\,\sqrt [3]{2} \left ( i\sqrt {3}-1 \right ) }{4}\sqrt [3]{a{x}^{2}}},y \left ( x \right ) =-{\frac {3\,\sqrt [3]{2} \left ( i\sqrt {3}+1 \right ) }{4}\sqrt [3]{a{x}^{2}}} \right \} \]