\[ y'(x)=\frac {x \sqrt {x^2+y(x)^2}+x y(x)+y(x)}{x (x+1)} \] ✓ Mathematica : cpu = 0.166202 (sec), leaf count = 15
\[\{\{y(x)\to x \sinh (\log (x+1)+c_1)\}\}\] ✓ Maple : cpu = 0.662 (sec), leaf count = 27
\[c_{1}+\frac {\sqrt {y \relax (x )^{2}+x^{2}}+y \relax (x )}{x \left (1+x \right )} = 0\]