\[ y'(x)=\frac {2 a}{32 a^3-16 a^2 x y(x)^2+2 a x^2 y(x)^4-x^2 y(x)} \] ✓ Mathematica : cpu = 0.47259 (sec), leaf count = 1200
\[\left \{\left \{y(x)\to \frac {-2 \left (4 a+e^{c_1}\right )+\frac {2 \sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}{x}+\frac {2 \left (192 a^3+16 x a^2+8 e^{c_1} x a+e^{2 c_1} x\right )}{\sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}}{24 a}\right \},\left \{y(x)\to \frac {-4 \left (4 a+e^{c_1}\right )+\frac {2 i \left (i+\sqrt {3}\right ) \sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}{x}-\frac {2 i \left (-i+\sqrt {3}\right ) \left (192 a^3+16 x a^2+8 e^{c_1} x a+e^{2 c_1} x\right )}{\sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}}{48 a}\right \},\left \{y(x)\to \frac {-4 \left (4 a+e^{c_1}\right )-\frac {2 i \left (-i+\sqrt {3}\right ) \sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}{x}+\frac {2 i \left (i+\sqrt {3}\right ) \left (192 a^3+16 x a^2+8 e^{c_1} x a+e^{2 c_1} x\right )}{\sqrt [3]{2304 x^2 a^4-64 x^3 a^3+576 e^{c_1} x^2 a^3-48 e^{c_1} x^3 a^2-216 x^3 a^2-12 e^{2 c_1} x^3 a-e^{3 c_1} x^3+\sqrt {x^3 \left (x \left (-2304 a^4-64 \left (9 e^{c_1}-x\right ) a^3+24 \left (9+2 e^{c_1}\right ) x a^2+12 e^{2 c_1} x a+e^{3 c_1} x\right ){}^2-\left (192 a^3+\left (4 a+e^{c_1}\right ){}^2 x\right ){}^3\right )}}}}{48 a}\right \}\right \}\]
✓ Maple : cpu = 0.904 (sec), leaf count = 1054
\[ \left \{ y \left ( x \right ) ={\frac {1}{24\,{\it \_C1}\,ax} \left ( -2\,x\sqrt [3]{-216\,{{\it \_C1}}^{3}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{2}{a}^{3}{x}^{2}+12\,a{\it \_C1}\,{x}^{2}\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}-{x}^{3}}+ \left ( -192\,i{{\it \_C1}}^{2}{a}^{3}x+i \left ( \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2} \right ) ^{{\frac {2}{3}}}-i{x}^{2} \right ) \sqrt {3}-192\,{{\it \_C1}}^{2}{a}^{3}x- \left ( \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2} \right ) ^{{\frac {2}{3}}}-{x}^{2} \right ) {\frac {1}{\sqrt [3]{-216\,{{\it \_C1}}^{3}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{2}{a}^{3}{x}^{2}+12\,a{\it \_C1}\,{x}^{2}\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}-{x}^{3}}}}},y \left ( x \right ) =-{\frac {1}{24\,{\it \_C1}\,ax} \left ( 2\,x\sqrt [3]{-216\,{{\it \_C1}}^{3}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{2}{a}^{3}{x}^{2}+12\,a{\it \_C1}\,{x}^{2}\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}-{x}^{3}}+ \left ( -192\,i{{\it \_C1}}^{2}{a}^{3}x+i \left ( \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2} \right ) ^{{\frac {2}{3}}}-i{x}^{2} \right ) \sqrt {3}+192\,{{\it \_C1}}^{2}{a}^{3}x+ \left ( \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2} \right ) ^{{\frac {2}{3}}}+{x}^{2} \right ) {\frac {1}{\sqrt [3]{-216\,{{\it \_C1}}^{3}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{2}{a}^{3}{x}^{2}+12\,a{\it \_C1}\,{x}^{2}\sqrt {{\frac { \left ( 324\,{{\it \_C1}}^{4}{a}^{2}+3\,{\it \_C1} \right ) {x}^{3}+ \left ( -1728\,{{\it \_C1}}^{3}{a}^{3}-12\,a \right ) {x}^{2}+1536\,{{\it \_C1}}^{2}{a}^{4}x-49152\,{{\it \_C1}}^{4}{a}^{7}}{x}}}-{x}^{3}}}}},y \left ( x \right ) ={\frac {1}{12\,{\it \_C1}\,ax}\sqrt [3]{ \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {-3\,{\frac {16384\,{{\it \_C1}}^{4}{a}^{7}-108\,{{\it \_C1}}^{4}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{3}{a}^{3}{x}^{2}-512\,{{\it \_C1}}^{2}{a}^{4}x-{\it \_C1}\,{x}^{3}+4\,a{x}^{2}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2}}}+{\frac {192\,{a}^{3}{{\it \_C1}}^{2}+x}{12\,{\it \_C1}\,a}{\frac {1}{\sqrt [3]{ \left ( -216\,{{\it \_C1}}^{3}{a}^{2}x+576\,{a}^{3}{{\it \_C1}}^{2}+12\,\sqrt {-3\,{\frac {16384\,{{\it \_C1}}^{4}{a}^{7}-108\,{{\it \_C1}}^{4}{a}^{2}{x}^{3}+576\,{{\it \_C1}}^{3}{a}^{3}{x}^{2}-512\,{{\it \_C1}}^{2}{a}^{4}x-{\it \_C1}\,{x}^{3}+4\,a{x}^{2}}{x}}}{\it \_C1}\,a-x \right ) {x}^{2}}}}}-{\frac {1}{12\,{\it \_C1}\,a}} \right \} \]