\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) +x\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}+{x}^{3}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}+{x}^{4}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}}{x}}=0} \]
Mathematica: cpu = 0.034504 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to x \sinh \left (\frac {1}{12} \left (12 c_1+3 x^4+4 x^3+12 x\right )\right )\right \}\right \} \]
Maple: cpu = 2.355 (sec), leaf count = 38 \[ \left \{ \ln \left ( y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}} \right ) -{\frac {{x}^{4}}{4}}-{\frac { {x}^{3}}{3}}-x-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]