\[ \boxed { \left ( y \left ( x \right ) \right ) ^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+2\,xy \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +a \left ( y \left ( x \right ) \right ) ^{2}+bx+c=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 2.621 (sec), leaf count = 5525 \[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,a \left ( a+1 \right ) } \sqrt {a \left ( 16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\, {a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3 \,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{ {\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b} }}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1 }\,a+2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{ 3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{5}{x}^{2}-16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\, {a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3 \,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{ {\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b} }}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1 }\,a+2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{ 3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{4}bx+64\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{4}{x}^{2}+4\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+ 12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{3}{b}^{2}-48\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\, {a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3 \,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{ {\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b} }}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1 }\,a+2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{ 3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{3}bx+96\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{3}{x}^{2}+8\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+ 12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{2}{b}^{2}-48\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\, {a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3 \,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{ {\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b} }}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1 }\,a+2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{ 3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{2}bx+64\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a} ^{2}{x}^{2}+4\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+ 12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) a{b }^{2}-16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\, \int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{ \it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4 \,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2 }+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) abx +16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^ {{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) { \it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a +1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4 \,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a }^{2}+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) a{x}^{2}-4\,{a}^{2}bx- 4\,{a}^{2}c-4\,abx-8\,ac-{b}^{2}-4\,c \right ) }},y \left ( x \right ) ={ \frac {1}{2\,a \left ( a+1 \right ) }\sqrt {a \left ( 16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{5}{x}^{2}-16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{4}bx+64\,{\it RootOf } \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{4}{x}^{2}+4\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{3}{b}^{2}-48\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{3}bx+96\,{\it RootOf } \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{3}{x}^{2}+8\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{2}{b}^{2}-48\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{2}bx+64\,{\it RootOf } \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) {a}^{2}{x}^{2}+4\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z} }\!1/4\,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2 }+12\,{\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a }-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) a{b}^{2}-16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) abx+16\,{\it RootOf} \left ( -b\ln \left ( 2\,ax-b+2\,x \right ) +2\,\int ^{{\it \_Z}}\!1/4 \,{\frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\, {\it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4 \,{\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4 \,{\it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) } {{\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}a+2\,{\it \_C1}\,a+2\,\int ^{{\it \_Z}}\!1/4\,{ \frac {b}{ \left ( 4\,{\it \_a}\,{a}^{3}+12\,{\it \_a}\,{a}^{2}+12\,{ \it \_a}\,a+{a}^{2}+4\,{\it \_a}+3\,a+2 \right ) {\it \_a}} \left ( -4\, {\it \_a}\,{a}^{2}+\sqrt {-{{\rm e}^{4\,{\frac {a+1}{b}}}} \left ( 4\,{ \it \_a}\,{a}^{3}+8\,{\it \_a}\,{a}^{2}+4\,{\it \_a}\,a-1 \right ) }{ {\rm e}^{-2\,{\frac {a+1}{b}}}}-8\,{\it \_a}\,a-4\,{\it \_a}-1 \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) a{x}^{2}-4\,{a}^{2}bx-4\, {a}^{2}c-4\,abx-8\,ac-{b}^{2}-4\,c \right ) }} \right \} \]