\[ y'(x)=\frac {2 a}{32 a^3-16 a^2 x y(x)^2+2 a x^2 y(x)^4-x^2 y(x)} \] ✓ Mathematica : cpu = 0.444818 (sec), leaf count = 1347
\[\left \{\left \{y(x)\to -\frac {4 a+e^{c_1}}{12 a}+\frac {\sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}{12 \sqrt [3]{2} a x}-\frac {-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2}{6\ 2^{2/3} a x \sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}\right \},\left \{y(x)\to -\frac {4 a+e^{c_1}}{12 a}-\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}{24 \sqrt [3]{2} a x}+\frac {\left (1+i \sqrt {3}\right ) \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right )}{12\ 2^{2/3} a x \sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}\right \},\left \{y(x)\to -\frac {4 a+e^{c_1}}{12 a}-\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}{24 \sqrt [3]{2} a x}+\frac {\left (1-i \sqrt {3}\right ) \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right )}{12\ 2^{2/3} a x \sqrt [3]{4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3+\sqrt {4 \left (-192 x a^3-\left (4 a+e^{c_1}\right ){}^2 x^2\right ){}^3+\left (4608 x^2 a^4-128 x^3 a^3+1152 e^{c_1} x^2 a^3-96 e^{c_1} x^3 a^2-432 x^3 a^2-24 e^{2 c_1} x^3 a-2 e^{3 c_1} x^3\right ){}^2}}}\right \}\right \}\] ✓ Maple : cpu = 1.425 (sec), leaf count = 1054
\[y \relax (x ) = \frac {\left (\left (-216 c_{1}^{3} a^{2} x +576 a^{3} c_{1}^{2}+12 \sqrt {-\frac {3 \left (16384 a^{7} c_{1}^{4}-108 a^{2} x^{3} c_{1}^{4}+576 a^{3} x^{2} c_{1}^{3}-512 a^{4} x c_{1}^{2}-x^{3} c_{1}+4 a \,x^{2}\right )}{x}}\, c_{1} a -x \right ) x^{2}\right )^{\frac {1}{3}}}{12 x c_{1} a}+\frac {192 a^{3} c_{1}^{2}+x}{12 c_{1} a \left (\left (-216 c_{1}^{3} a^{2} x +576 a^{3} c_{1}^{2}+12 \sqrt {-\frac {3 \left (16384 a^{7} c_{1}^{4}-108 a^{2} x^{3} c_{1}^{4}+576 a^{3} x^{2} c_{1}^{3}-512 a^{4} x c_{1}^{2}-x^{3} c_{1}+4 a \,x^{2}\right )}{x}}\, c_{1} a -x \right ) x^{2}\right )^{\frac {1}{3}}}-\frac {1}{12 c_{1} a}\]