\[ \boxed { 2\,{x}^{2}y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}-{x}^{2}{{\rm e}^{x-{x}^{-1}}}=0} \]
Mathematica: cpu = 0.019002 (sec), leaf count = 50 \[ \left \{\left \{y(x)\to -e^{\left .-\frac {1}{2}\right /x} \sqrt {c_1+e^x}\right \},\left \{y(x)\to e^{\left .-\frac {1}{2}\right /x} \sqrt {c_1+e^x}\right \}\right \} \]
Maple: cpu = 0.032 (sec), leaf count = 51 \[ \left \{ y \left ( x \right ) =\sqrt {{{\rm e}^{-{x}^{-1}}}{\it \_C1}+{ {\rm e}^{{\frac {{x}^{2}-1}{x}}}}},y \left ( x \right ) =-\sqrt {{ {\rm e}^{-{x}^{-1}}}{\it \_C1}+{{\rm e}^{{\frac {{x}^{2}-1}{x}}}}} \right \} \]