\[ y'(x)=\frac {x^4 \sqrt {x^2+y(x)^2}+x y(x)+y(x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.196832 (sec), leaf count = 37
\[\left \{\left \{y(x)\to x \sinh \left (\frac {1}{6} \left (2 x^3-3 x^2+6 x-6 \log (x+1)+11+6 c_1\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.761 (sec), leaf count = 42
\[\left \{-\frac {x^{3}}{3}+\frac {x^{2}}{2}-c_{1}-x -\ln \left (x \right )+\ln \left (x +1\right )+\ln \left (y \left (x \right )+\sqrt {x^{2}+y \left (x \right )^{2}}\right ) = 0\right \}\]