\[ \left (\sqrt {y(x)+x}+1\right ) y'(x)+1=0 \] ✓ Mathematica : cpu = 0.119264 (sec), leaf count = 39
DSolve[1 + (1 + Sqrt[x + y[x]])*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -2 \sqrt {x+1+c_1}+2+c_1\right \},\left \{y(x)\to 2 \sqrt {x+1+c_1}+2+c_1\right \}\right \}\] ✓ Maple : cpu = 0.028 (sec), leaf count = 19
dsolve(((y(x)+x)^(1/2)+1)*diff(y(x),x)+1 = 0,y(x))
\[-y \left (x \right )-2 \sqrt {y \left (x \right )+x}-c_{1} = 0\]