\[ y'(x)=\frac {2 y(x)^6 \left (4 x y(x)^2+y(x)^2+1\right )}{128 x^3 y(x)^6+96 x^2 y(x)^4+4 x y(x)^5+y(x)^5+y(x)^3+24 x y(x)^2+2} \] ✓ Mathematica : cpu = 0.234568 (sec), leaf count = 301
\[\left \{\left \{y(x)\to \text {Root}\left [\text {$\#$1}^5 \left (128 c_1 x^2-8 x-1\right )+128 \text {$\#$1}^4 x^2+\text {$\#$1}^3 \left (64 c_1 x-2\right )+64 \text {$\#$1}^2 x+8 \text {$\#$1} c_1+8\& ,1\right ]\right \},\left \{y(x)\to \text {Root}\left [\text {$\#$1}^5 \left (128 c_1 x^2-8 x-1\right )+128 \text {$\#$1}^4 x^2+\text {$\#$1}^3 \left (64 c_1 x-2\right )+64 \text {$\#$1}^2 x+8 \text {$\#$1} c_1+8\& ,2\right ]\right \},\left \{y(x)\to \text {Root}\left [\text {$\#$1}^5 \left (128 c_1 x^2-8 x-1\right )+128 \text {$\#$1}^4 x^2+\text {$\#$1}^3 \left (64 c_1 x-2\right )+64 \text {$\#$1}^2 x+8 \text {$\#$1} c_1+8\& ,3\right ]\right \},\left \{y(x)\to \text {Root}\left [\text {$\#$1}^5 \left (128 c_1 x^2-8 x-1\right )+128 \text {$\#$1}^4 x^2+\text {$\#$1}^3 \left (64 c_1 x-2\right )+64 \text {$\#$1}^2 x+8 \text {$\#$1} c_1+8\& ,4\right ]\right \},\left \{y(x)\to \text {Root}\left [\text {$\#$1}^5 \left (128 c_1 x^2-8 x-1\right )+128 \text {$\#$1}^4 x^2+\text {$\#$1}^3 \left (64 c_1 x-2\right )+64 \text {$\#$1}^2 x+8 \text {$\#$1} c_1+8\& ,5\right ]\right \}\right \}\]
✗ Maple : cpu = 0. (sec), leaf count = 0 , exception
time expired