\[ y'(x)=\frac {\left (x y(x)^2+1\right )^2}{x^4 y(x)} \] ✓ Mathematica : cpu = 0.377582 (sec), leaf count = 162
\[\left \{\left \{y(x)\to -\frac {\sqrt {\frac {\left (\sqrt {2} x-2\right ) e^{\frac {2 \sqrt {2} \left (c_1 x+1\right )}{x}}-\sqrt {2} x-2}{x}}}{\sqrt {2} \sqrt {e^{\frac {2 \sqrt {2} \left (c_1 x+1\right )}{x}}+1}}\right \},\left \{y(x)\to \frac {\sqrt {\frac {\left (\sqrt {2} x-2\right ) e^{\frac {2 \sqrt {2} \left (c_1 x+1\right )}{x}}-\sqrt {2} x-2}{x}}}{\sqrt {2} \sqrt {e^{\frac {2 \sqrt {2} \left (c_1 x+1\right )}{x}}+1}}\right \}\right \}\]
✓ Maple : cpu = 0.832 (sec), leaf count = 231
\[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,x}\sqrt {-2\,x \left ( {\it \_C1}\,{{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+{{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) \left ( {\it \_C1}\, \left ( \sqrt {2}x+2 \right ) {{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+ \left ( 2-\sqrt {2}x \right ) {{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) } \left ( {\it \_C1}\,{{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+{{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) ^{-1}},y \left ( x \right ) ={\frac {1}{2\,x}\sqrt {-2\,x \left ( {\it \_C1}\,{{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+{{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) \left ( {\it \_C1}\, \left ( \sqrt {2}x+2 \right ) {{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+ \left ( 2-\sqrt {2}x \right ) {{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) } \left ( {\it \_C1}\,{{\rm e}^{{\frac {-1-\sqrt {2}x}{{x}^{2}}}}}+{{\rm e}^{{\frac {-1+\sqrt {2}x}{{x}^{2}}}}} \right ) ^{-1}} \right \} \]