\[ \left (x^2 y(x)-1\right ) y'(x)+x y(x)^2-1=0 \] ✓ Mathematica : cpu = 0.12106 (sec), leaf count = 60
\[\left \{\left \{y(x)\to \frac {1}{x^2}-\frac {\sqrt {2 x^3+c_1 x^2+1}}{x^2}\right \},\left \{y(x)\to \frac {1}{x^2}+\frac {\sqrt {2 x^3+c_1 x^2+1}}{x^2}\right \}\right \}\] ✓ Maple : cpu = 0.015 (sec), leaf count = 51
\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( 1-\sqrt {-2\,{\it \_C1}\,{x}^{2}+2\,{x}^{3}+1} \right ) },y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( 1+\sqrt {-2\,{\it \_C1}\,{x}^{2}+2\,{x}^{3}+1} \right ) } \right \} \]