\[ \left (\sqrt {y(x)+x}+1\right ) y'(x)+1=0 \] ✓ Mathematica : cpu = 0.119264 (sec), leaf count = 39
\[\left \{\left \{y(x)\to -2 \sqrt {x+1+c_1}+2+c_1\right \},\left \{y(x)\to 2 \sqrt {x+1+c_1}+2+c_1\right \}\right \}\] ✓ Maple : cpu = 0.028 (sec), leaf count = 19
\[-y \relax (x )-2 \sqrt {y \relax (x )+x}-c_{1} = 0\]