\[ \left (x^2 y(x)-1\right ) y'(x)+x y(x)^2-1=0 \] ✓ Mathematica : cpu = 0.0126543 (sec), leaf count = 60
\[\left \{\left \{y(x)\to \frac {1}{x^2}-\frac {\sqrt {c_1 x^2+2 x^3+1}}{x^2}\right \},\left \{y(x)\to \frac {\sqrt {c_1 x^2+2 x^3+1}}{x^2}+\frac {1}{x^2}\right \}\right \}\]
✓ Maple : cpu = 0.019 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( 1+\sqrt {-2\,{x}^{2}{\it \_C1}+2\,{x}^{3}+1} \right ) },y \left ( x \right ) =-{\frac {1}{{x}^{2}} \left ( -1+\sqrt {-2\,{x}^{2}{\it \_C1}+2\,{x}^{3}+1} \right ) } \right \} \]