\[ y'(x)=\frac {-x^2 \sqrt {x^2+y(x)^2}+x y(x) \sqrt {x^2+y(x)^2}+x^5 \left (-\sqrt {x^2+y(x)^2}\right )+x^4 y(x) \sqrt {x^2+y(x)^2}-x^4 \sqrt {x^2+y(x)^2}+x^3 y(x) \sqrt {x^2+y(x)^2}+y(x)}{x} \] ✓ Mathematica : cpu = 0.371185 (sec), leaf count = 341
\[\left \{\left \{y(x)\to \frac {x-2 \sqrt {x^2 \tanh ^2\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )-x^2 \tanh ^4\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )}}{-1+2 \tanh ^2\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )}\right \},\left \{y(x)\to \frac {x+2 \sqrt {x^2 \tanh ^2\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )-x^2 \tanh ^4\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )}}{-1+2 \tanh ^2\left (\frac {1}{20} \left (-4 \sqrt {2} x^5-5 \sqrt {2} x^4-10 \sqrt {2} x^2-20 \sqrt {2} c_1\right )\right )}\right \}\right \}\] ✓ Maple : cpu = 0.297 (sec), leaf count = 62
\[\ln \left (\frac {2 x \left (\sqrt {2 y \relax (x )^{2}+2 x^{2}}+y \relax (x )+x \right )}{y \relax (x )-x}\right )+\frac {\left (4 x^{5}+5 x^{4}+10 x^{2}\right ) \sqrt {2}}{20}-c_{1}-\ln \relax (x ) = 0\]