\[ y'(x)=\frac {x \sqrt {x^2+y(x)^2}+x y(x)+y(x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.200274 (sec), leaf count = 15
\[\{\{y(x)\to x \sinh (\log (x+1)+c_1)\}\}\] ✓ Maple : cpu = 0.615 (sec), leaf count = 27
\[\left \{c_{1}+\frac {y \left (x \right )+\sqrt {x^{2}+y \left (x \right )^{2}}}{\left (x +1\right ) x} = 0\right \}\]