\[ y'(x)^2-2 y'(x)-y(x)^2=0 \] ✓ Mathematica : cpu = 0.077079 (sec), leaf count = 73
\[\left \{\left \{y(x)\to \text {InverseFunction}\left [-\frac {\sqrt {\text {$\#$1}^2+1}}{\text {$\#$1}}-\frac {1}{\text {$\#$1}}+\sinh ^{-1}(\text {$\#$1})\& \right ][-x+c_1]\right \},\left \{y(x)\to \text {InverseFunction}\left [-\frac {\sqrt {\text {$\#$1}^2+1}}{\text {$\#$1}}+\frac {1}{\text {$\#$1}}+\sinh ^{-1}(\text {$\#$1})\& \right ][x+c_1]\right \}\right \}\] ✓ Maple : cpu = 0.033 (sec), leaf count = 85
\[x -\frac {1}{y \relax (x )}-\frac {\left (y \relax (x )^{2}+1\right )^{\frac {3}{2}}}{y \relax (x )}+y \relax (x ) \sqrt {y \relax (x )^{2}+1}+\arcsinh \left (y \relax (x )\right )-c_{1} = 0\]