\[ a y(x) y'(x)-b x-c+y'(x)^2=0 \] ✓ Mathematica : cpu = 2.26281 (sec), leaf count = 82
\[\text {Solve}\left [\left \{\frac {c}{b}+x=\frac {\text {K$\$$1846815} \left (\tan ^{-1}\left (\frac {\sqrt {a} \text {K$\$$1846815}}{\sqrt {b-a \text {K$\$$1846815}^2}}\right )+\sqrt {a} c_1\right )}{\sqrt {a} \sqrt {b-a \text {K$\$$1846815}^2}},y(x)=\frac {b x+c-\text {K$\$$1846815}^2}{a \text {K$\$$1846815}}\right \},\{y(x),\text {K$\$$1846815}\}\right ]\]
✓ Maple : cpu = 1.085 (sec), leaf count = 281
\[ \left \{ y \left ( x \right ) =2\,{\frac {{{\rm e}^{{\it RootOf} \left ( \sqrt {a}{\it \_C1}\,b{{\rm e}^{2\,{\it \_Z}}}-{{\rm e}^{2\,{\it \_Z}}}abx-{{\rm e}^{2\,{\it \_Z}}}{\it \_Z}\,b-{{\rm e}^{2\,{\it \_Z}}}ac+\sqrt {a}{\it \_C1}\,{b}^{2}+a{b}^{2}x-{\it \_Z}\,{b}^{2}+abc \right ) }} \left ( -1/4\, \left ( {{\rm e}^{2\,{\it RootOf} \left ( \sqrt {a}{\it \_C1}\,b{{\rm e}^{2\,{\it \_Z}}}-{{\rm e}^{2\,{\it \_Z}}}abx-{{\rm e}^{2\,{\it \_Z}}}{\it \_Z}\,b-{{\rm e}^{2\,{\it \_Z}}}ac+\sqrt {a}{\it \_C1}\,{b}^{2}+a{b}^{2}x-{\it \_Z}\,{b}^{2}+abc \right ) }}+b \right ) ^{2}{{\rm e}^{-2\,{\it RootOf} \left ( \sqrt {a}{\it \_C1}\,b{{\rm e}^{2\,{\it \_Z}}}-{{\rm e}^{2\,{\it \_Z}}}abx-{{\rm e}^{2\,{\it \_Z}}}{\it \_Z}\,b-{{\rm e}^{2\,{\it \_Z}}}ac+\sqrt {a}{\it \_C1}\,{b}^{2}+a{b}^{2}x-{\it \_Z}\,{b}^{2}+abc \right ) }}+a \left ( bx+c \right ) \right ) }{{a}^{3/2} \left ( {{\rm e}^{2\,{\it RootOf} \left ( \sqrt {a}{\it \_C1}\,b{{\rm e}^{2\,{\it \_Z}}}-{{\rm e}^{2\,{\it \_Z}}}abx-{{\rm e}^{2\,{\it \_Z}}}{\it \_Z}\,b-{{\rm e}^{2\,{\it \_Z}}}ac+\sqrt {a}{\it \_C1}\,{b}^{2}+a{b}^{2}x-{\it \_Z}\,{b}^{2}+abc \right ) }}+b \right ) }} \right \} \]