\[ y'(x)=\frac {x^4 \sqrt {x^2+y(x)^2}+x y(x)+y(x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.171916 (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 = 0.702 (sec), leaf count = 42
\[\ln \left (y \relax (x )+\sqrt {y \relax (x )^{2}+x^{2}}\right )-\frac {x^{3}}{3}+\frac {x^{2}}{2}-x -\ln \relax (x )+\ln \left (1+x \right )-c_{1} = 0\]