\[ y'(x)=\frac {x^6-3 x^4 y(x)^2+x^3+3 x^2 y(x)^4-x y(x)^2-y(x)^6-x}{y(x) \left (x^2-y(x)^2-1\right )} \] ✓ Mathematica : cpu = 0.208899 (sec), leaf count = 295
\[\left \{\left \{y(x)\to -\frac {1}{2} \sqrt {\frac {4 x^3}{x-c_1}-\frac {4 c_1 x^2}{x-c_1}-\frac {\sqrt {-4 x+1+4 c_1}}{x-c_1}-\frac {1}{x-c_1}}\right \},\left \{y(x)\to \frac {1}{2} \sqrt {\frac {4 x^3}{x-c_1}-\frac {4 c_1 x^2}{x-c_1}-\frac {\sqrt {-4 x+1+4 c_1}}{x-c_1}-\frac {1}{x-c_1}}\right \},\left \{y(x)\to -\frac {1}{2} \sqrt {\frac {4 x^3}{x-c_1}-\frac {4 c_1 x^2}{x-c_1}+\frac {\sqrt {-4 x+1+4 c_1}}{x-c_1}-\frac {1}{x-c_1}}\right \},\left \{y(x)\to \frac {1}{2} \sqrt {\frac {4 x^3}{x-c_1}-\frac {4 c_1 x^2}{x-c_1}+\frac {\sqrt {-4 x+1+4 c_1}}{x-c_1}-\frac {1}{x-c_1}}\right \}\right \}\] ✓ Maple : cpu = 0.211 (sec), leaf count = 183
\[y \relax (x ) = -\frac {\sqrt {\left (c_{1}+3 x \right ) \left (4 c_{1} x^{2}+12 x^{3}+\sqrt {-12 c_{1}-36 x +9}-3\right )}}{2 c_{1}+6 x}\]