\[ \boxed { {x}^{4} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2} \right ) +a=0} \]
Mathematica: cpu = 0.011501 (sec), leaf count = 347 \[ \left \{\left \{y(x)\to -\frac {\frac {i \sqrt {\frac {2}{\pi }} c_1 \sinh \left (\frac {\sqrt {-a}}{x}\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}+\frac {i \sqrt {-a} \left (-\frac {\sqrt {\frac {2}{\pi }} c_1 \cosh \left (\frac {\sqrt {-a}}{x}\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}+\frac {\sqrt {\frac {2}{\pi }} c_1 \left (-\frac {\sqrt {-a} x \sinh \left (\frac {\sqrt {-a}}{x}\right )}{a}-\cosh \left (\frac {\sqrt {-a}}{x}\right )\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}-\frac {2 \sqrt {\frac {2}{\pi }} \left (i \sinh \left (\frac {\sqrt {-a}}{x}\right )+\frac {i \sqrt {-a} x \cosh \left (\frac {\sqrt {-a}}{x}\right )}{a}\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}\right )}{x}}{2 x \left (\frac {\sqrt {\frac {2}{\pi }} \cosh \left (\frac {\sqrt {-a}}{x}\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}-\frac {i \sqrt {\frac {2}{\pi }} c_1 \sinh \left (\frac {\sqrt {-a}}{x}\right )}{\sqrt {-\frac {i \sqrt {-a}}{x}}}\right )}\right \}\right \} \]
Maple: cpu = 0.063 (sec), leaf count = 30 \[ \left \{ y \left ( x \right ) =-{\frac {1}{{x}^{2}} \left ( \tan \left ( { \frac {{\it \_C1}\,x-1}{x}\sqrt {a}} \right ) \sqrt {a}-x \right ) } \right \} \]