\[ y'(x)=\frac {2 a}{32 a^3 x^2-16 a^2 x y(x)^2+2 a y(x)^4+y(x)} \] ✓ Mathematica : cpu = 0.254167 (sec), leaf count = 663
\[\left \{\left \{y(x)\to -\frac {\sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}{12 \sqrt [3]{2} a}+\frac {-192 a^3 x-64 a^4 c_1{}^2}{6\ 2^{2/3} a \sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}+\frac {2 a c_1}{3}\right \},\left \{y(x)\to \frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}{24 \sqrt [3]{2} a}-\frac {\left (1+i \sqrt {3}\right ) \left (-192 a^3 x-64 a^4 c_1{}^2\right )}{12\ 2^{2/3} a \sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}+\frac {2 a c_1}{3}\right \},\left \{y(x)\to \frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}{24 \sqrt [3]{2} a}-\frac {\left (1-i \sqrt {3}\right ) \left (-192 a^3 x-64 a^4 c_1{}^2\right )}{12\ 2^{2/3} a \sqrt [3]{-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2+\sqrt {4 \left (-192 a^3 x-64 a^4 c_1{}^2\right ){}^3+\left (-1024 a^6 c_1{}^3+9216 a^5 c_1 x-432 a^2\right ){}^2}}}+\frac {2 a c_1}{3}\right \}\right \}\] ✓ Maple : cpu = 0.122 (sec), leaf count = 856
\[\left \{y \left (x \right ) = \frac {-16 c_{1}^{2} a^{4}-48 a^{3} x +8 c_{1} \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}} a^{2}+\left (-16 i c_{1}^{2} a^{4}-48 i a^{3} x +i \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {2}{3}}\right ) \sqrt {3}-\left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {2}{3}}}{12 \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}} a}, y \left (x \right ) = -\frac {16 c_{1}^{2} a^{4}+48 a^{3} x -8 c_{1} \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}} a^{2}+\left (-16 i c_{1}^{2} a^{4}-48 i a^{3} x +i \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {2}{3}}\right ) \sqrt {3}+\left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {2}{3}}}{12 \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}} a}, y \left (x \right ) = \frac {2 c_{1} a}{3}+\frac {8 \left (c_{1}^{2} a +3 x \right ) a^{2}}{3 \left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}}}+\frac {\left (\left (64 c_{1}^{3} a^{4}-576 c_{1} a^{3} x +3 \sqrt {-12288 c_{1}^{4} a^{7} x +24576 c_{1}^{2} a^{6} x^{2}-12288 a^{5} x^{3}+384 c_{1}^{3} a^{4}-3456 c_{1} a^{3} x +81}+27\right ) a^{2}\right )^{\frac {1}{3}}}{6 a}\right \}\]