\[ a y'(x)^2+y(x) y'(x)-x=0 \] ✓ Mathematica : cpu = 1.32885 (sec), leaf count = 40
\[\text {Solve}\left [\left \{x=\frac {\text {K$\$$1887439} \left (a \sin ^{-1}(\text {K$\$$1887439})+c_1\right )}{\sqrt {1-\text {K$\$$1887439}^2}},a \text {K$\$$1887439}+y(x)=\frac {x}{\text {K$\$$1887439}}\right \},\{y(x),\text {K$\$$1887439}\}\right ]\]
✓ Maple : cpu = 0.47 (sec), leaf count = 378
\[ \left \{ {{\it \_C1} \left ( y \left ( x \right ) -\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\frac {1}{\sqrt {{\frac {1}{a} \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-2\,a \right ) }}}}{\frac {1}{\sqrt {{\frac {1}{a} \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}+2\,a \right ) }}}}}+x+{1 \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) \ln \left ( {\frac {1}{2\,a} \left ( \sqrt {{\frac {1}{{a}^{2}} \left ( 4\,ax+2\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-4\,{a}^{2} \right ) }}a+\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-y \left ( x \right ) \right ) } \right ) {\frac {1}{\sqrt {-2\,{\frac {y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}+2\,{a}^{2}-2\,ax- \left ( y \left ( x \right ) \right ) ^{2}}{{a}^{2}}}}}}}=0,{{\it \_C1} \left ( y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\frac {1}{\sqrt {{\frac {1}{a} \left ( -2\,y \left ( x \right ) -2\,\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-4\,a \right ) }}}}{\frac {1}{\sqrt {{\frac {1}{a} \left ( -2\,y \left ( x \right ) -2\,\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}+4\,a \right ) }}}}}+x-{\frac {\sqrt {2}}{2} \left ( y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) \ln \left ( {\frac {1}{2\,a} \left ( \sqrt {2}\sqrt {{\frac {1}{{a}^{2}} \left ( y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-2\,{a}^{2}+2\,ax+ \left ( y \left ( x \right ) \right ) ^{2} \right ) }}a-\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-y \left ( x \right ) \right ) } \right ) {\frac {1}{\sqrt {{\frac {1}{{a}^{2}} \left ( y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-2\,{a}^{2}+2\,ax+ \left ( y \left ( x \right ) \right ) ^{2} \right ) }}}}}=0 \right \} \]