\[ y'(x)=\frac {x^4 \sqrt {x^2+y(x)^2}+x y(x)+y(x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.559105 (sec), leaf count = 35
\[\left \{\left \{y(x)\to x \sinh \left (c_1+\frac {x^3}{3}-\frac {x^2}{2}+x-\log (x+1)+\frac {11}{6}\right )\right \}\right \}\]
✓ Maple : cpu = 0.671 (sec), leaf count = 42
\[ \left \{ \ln \left ( y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}} \right ) -{\frac {{x}^{3}}{3}}+{\frac {{x}^{2}}{2}}-x-\ln \left ( x \right ) +\ln \left ( 1+x \right ) -{\it \_C1}=0 \right \} \]