\[ x y'(x)-y(x)^2+1=0 \] ✓ Mathematica : cpu = 0.0238185 (sec), leaf count = 33
\[\left \{\left \{y(x)\to \frac {1-e^{2 c_1} x^2}{e^{2 c_1} x^2+1}\right \}\right \}\]
✓ Maple : cpu = 0.031 (sec), leaf count = 11
\[ \left \{ y \left ( x \right ) =-\tanh \left ( \ln \left ( x \right ) +{\it \_C1} \right ) \right \} \]