\[ y'(x)-\frac {y(x)^2+1}{(x+1)^{3/2} \left | y(x)+\sqrt {y(x)+1}\right | }=0 \] ✗ Mathematica : cpu = 300.918 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 7.432 (sec), leaf count = 35
\[ \left \{ -2\,{\frac {1}{\sqrt {1+x}}}-\int ^{y \left ( x \right ) }\!{\frac {1}{{{\it \_a}}^{2}+1} \left | {\it \_a}+\sqrt {{\it \_a}+1} \right | }{d{\it \_a}}+{\it \_C1}=0 \right \} \]