\[ y'(x)=\frac {x \left (3 x^2 \sqrt {x^2+3 y(x)}-2 x-2\right )}{3 (x+1)} \] ✓ Mathematica : cpu = 0.270006 (sec), leaf count = 90
\[\left \{\left \{y(x)\to \frac {1}{48} \left (-12 \left (2 c_1+3\right ) x^3+4 \left (9 c_1+5\right ) x^2-12 \left (-6 c_1+2 x^3-3 x^2+6 x\right ) \log (x+1)-72 c_1 x+36 c_1^2+4 x^6-12 x^5+33 x^4+36 \log ^2(x+1)\right )\right \}\right \}\]
✓ Maple : cpu = 0.302 (sec), leaf count = 36
\[ \left \{ {\it \_C1}+{\frac {{x}^{3}}{2}}-{\frac {3\,{x}^{2}}{4}}-{\frac {3\,\ln \left ( 1+x \right ) }{2}}+{\frac {3\,x}{2}}-\sqrt {{x}^{2}+3\,y \left ( x \right ) }=0 \right \} \]