\[ \left (\sqrt {y(x)+x}+1\right ) y'(x)+1=0 \] ✓ Mathematica : cpu = 0.0353691 (sec), leaf count = 39
\[\left \{\left \{y(x)\to -2 \sqrt {c_1+x+1}+c_1+2\right \},\left \{y(x)\to 2 \sqrt {c_1+x+1}+c_1+2\right \}\right \}\] ✓ Maple : cpu = 0.033 (sec), leaf count = 19
\[ \left \{ -y \left ( x \right ) -2\,\sqrt {y \left ( x \right ) +x}-{\it \_C1}=0 \right \} \]