\[ a+x y'(x)^2+y(x) y'(x)=0 \] ✓ Mathematica : cpu = 27.8654 (sec), leaf count = 16145
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✓ Maple : cpu = 0.142 (sec), leaf count = 146
\[ \left \{ -{{\it \_C1}\,{x}^{2} \left ( {\frac {1}{x} \left ( -y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) } \right ) ^{{\frac {3}{2}}} \left ( -y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) ^{-2}}+x+{\frac {4\,a{x}^{2}}{3} \left ( -y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) ^{-2}}=0,{{\it \_C1}\,{x}^{2} \left ( {\frac {1}{x} \left ( -2\,y \left ( x \right ) -2\,\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) } \right ) ^{{\frac {3}{2}}} \left ( y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) ^{-2}}+x+{\frac {4\,a{x}^{2}}{3} \left ( y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}-4\,ax} \right ) ^{-2}}=0 \right \} \]