\[ \text {Global$\grave { }$a} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$x}=0 \] ✓ Mathematica : cpu = 0.801004 (sec), leaf count = 49
\[\text {Solve}\left [\left \{\text {Global$\grave { }$x}=\frac {c_1 \text {K$\$$1861648}}{\sqrt {\text {K$\$$1861648}^2+1}}+\frac {\text {Global$\grave { }$a} \text {K$\$$1861648} \sinh ^{-1}(\text {K$\$$1861648})}{\sqrt {\text {K$\$$1861648}^2+1}},\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=\text {Global$\grave { }$a} \text {K$\$$1861648}-\frac {\text {Global$\grave { }$x}}{\text {K$\$$1861648}}\right \},\{\text {Global$\grave { }$y}(\text {Global$\grave { }$x}),\text {K$\$$1861648}\}\right ]\]
✓ Maple : cpu = 0.078 (sec), leaf count = 264
\[ \left \{ {{\it \_C1} \left ( y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\frac {1}{\sqrt {{\frac {1}{{a}^{2}} \left ( y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}+2\,{a}^{2}+2\,ax+ \left ( y \left ( x \right ) \right ) ^{2} \right ) }}}}}+x-{\frac {\sqrt {2}}{2} \left ( y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\it Arcsinh} \left ( {\frac {1}{2\,a} \left ( y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) {\frac {1}{\sqrt {{\frac {1}{{a}^{2}} \left ( y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}+2\,{a}^{2}+2\,ax+ \left ( y \left ( x \right ) \right ) ^{2} \right ) }}}}}=0,{{\it \_C1} \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\frac {1}{\sqrt {-2\,{\frac {y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-2\,{a}^{2}-2\,ax- \left ( y \left ( x \right ) \right ) ^{2}}{{a}^{2}}}}}}}+x-{1 \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) {\it Arcsinh} \left ( {\frac {1}{2\,a} \left ( -y \left ( x \right ) +\sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) {\frac {1}{\sqrt {-2\,{\frac {y \left ( x \right ) \sqrt {4\,ax+ \left ( y \left ( x \right ) \right ) ^{2}}-2\,{a}^{2}-2\,ax- \left ( y \left ( x \right ) \right ) ^{2}}{{a}^{2}}}}}}}=0 \right \} \]