3.430   ODE No. 430

\[ \boxed { \left ( {\it a2}\,x+{\it c2} \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( {\it a1}\,x+{\it b1}\,y \left ( x \right ) +{\it c1} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\it a0}\,x+{\it b0}\,y \left ( x \right ) +{\it c0}=0} \]

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]

Maple: cpu = 1.201 (sec), leaf count = 9885 \[ \left \{ {\frac {{\it \_C1}}{{\it a2}\,x+{\it c2}} \left ( -{\frac {1}{ 2\, \left ( {\it a2}\,x+{\it c2} \right ) ^{2}} \left ( 2\,{\it a0}\,{ \it a2}\,{\it b1}\,{x}^{2}+2\,{\it a0}\,{\it b1}\,{\it c2}\,x+2\,{\it a2}\,{\it b1}\,{\it c0}\,x+{\it a1}\,{\it c1}\,{\it c2}+{\it b0}\,{ \it c1}\,{\it c2}+2\,{{\it a2}}^{2}{\it c0}\,x+2\,{\it a2}\,{\it c0}\, {\it c2}+2\,{\it b1}\,{\it c0}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2} \,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{{\it b1}}^{2}y \left ( x \right ) -\sqrt { -4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{ \it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a1}\,{ \it c2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}\,{\it c1}-\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2 }{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b0}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2 }\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}\,{\it c1}-{\it a2}\,{{\it b1}}^{ 2} \left ( y \left ( x \right ) \right ) ^{2}-2\,{{\it b1}}^{2}{\it c1}\, y \left ( x \right ) -2\,{\it a2}\,{\it b1}\,{\it c1}\,y \left ( x \right ) -2\,{\it a1}\,{{\it b1}}^{2}xy \left ( x \right ) +{\it a1}\,{ \it b1}\,{\it c2}\,y \left ( x \right ) +3\,{\it b0}\,{\it b1}\,{\it c2} \,y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1} }^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\, {\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a1}\,{\it b1}\,x-\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{\it b0}\,x+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{ \it b1}\,y \left ( x \right ) -{{\it b1}}^{3} \left ( y \left ( x \right ) \right ) ^{2}+2\,{{\it a2}}^{2}{\it b0}\,xy \left ( x \right ) +2\,{\it a2}\,{\it b0}\,{\it c2}\,y \left ( x \right ) -{{\it a1}}^{2}{\it b1}\,{ x}^{2}+{{\it a1}}^{2}{\it c2}\,x-{\it a1}\,{\it a2}\,{\it b1}\,xy \left ( x \right ) +3\,{\it a2}\,{\it b0}\,{\it b1}\,xy \left ( x \right ) -{\it a1}\,{\it a2}\,{\it c1}\,x-2\,{\it a1}\,{\it b1}\,{\it c1}\,x+{\it a1}\,{\it a2}\,{\it b0}\,{x}^{2}+{\it a1}\,{\it b0}\,{\it c2}\,x+{\it a2}\,{\it b0}\,{\it c1}\,x-2\,{\it a0}\,{\it a2}\,{\it c2} \,x-{\it a2}\,{{\it c1}}^{2}-{\it b1}\,{{\it c1}}^{2}-2\,{\it a0}\,{{ \it c2}}^{2} \right ) } \right ) ^{-{\frac {2\,{\it a2}+{\it b1}}{2\,{ \it a2}+2\,{\it b1}}}} \left ( -{\it a1}\,{\it b1}\,x+2\,{\it a2}\,{ \it b0}\,x-{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+2\,{\it b0}\,{ \it c2}-{\it b1}\,{\it c1} \right ) {{\rm e}^{2\,{\frac {{\it a1}\,{ \it a2}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}} ^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {-{\it a1}\,{\it b1}\,x+{\it a2}\,{ \it b0}\,x-{\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{ 2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+ {\it b0}\,{\it c2}-{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}} ^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}} \right ) }+{\frac {{\it b1 }\,{\it a1}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{ \it c2}} \left ( -{\it a1}\,{\it b1}\,x+{\it a2}\,{\it b0}\,x-{\it a2} \,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) + \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1} -{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) { \frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1} }^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}}+2\,{\frac {{\it a2}\,{ \it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}} ^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {-{\it a1}\,{\it b1}\,x+{\it a2}\,{ \it b0}\,x-{\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{ 2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+ {\it b0}\,{\it c2}-{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}} ^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}} \right ) }+{\frac {{\it b1 }\,{\it b0}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{ \it c2}} \left ( -{\it a1}\,{\it b1}\,x+{\it a2}\,{\it b0}\,x-{\it a2} \,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) + \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1} -{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) { \frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1} }^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{\it a1}}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}}}\arctan \left ( {\frac {-{\it a1}\,{ \it b1}\,x+{\it a2}\,{\it b0}\,x-{\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{ x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{ \it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{ \it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{ \it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}} \right ) }}}}+x-{ \frac {1}{2\,{\it a2}\,x+2\,{\it c2}} \left ( -{\frac {1}{2\, \left ( { \it a2}\,x+{\it c2} \right ) ^{2}} \left ( 2\,{\it a0}\,{\it a2}\,{\it b1}\,{x}^{2}+2\,{\it a0}\,{\it b1}\,{\it c2}\,x+2\,{\it a2}\,{\it b1} \,{\it c0}\,x+{\it a1}\,{\it c1}\,{\it c2}+{\it b0}\,{\it c1}\,{\it c2 }+2\,{{\it a2}}^{2}{\it c0}\,x+2\,{\it a2}\,{\it c0}\,{\it c2}+2\,{ \it b1}\,{\it c0}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{ \it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{ \it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{{\it b1}}^{2}y \left ( x \right ) -\sqrt {-4\,{ \it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1} \,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{ \it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{ \it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a1}\,{\it c2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{ \it c1}-\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b0}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2 }{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}\,{\it c1}-{\it a2}\,{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-2\,{{\it b1}}^{2}{\it c1}\,y \left ( x \right ) -2\,{\it a2}\,{\it b1}\,{\it c1}\,y \left ( x \right ) -2\,{\it a1}\,{{\it b1}}^{2}xy \left ( x \right ) +{\it a1}\,{ \it b1}\,{\it c2}\,y \left ( x \right ) +3\,{\it b0}\,{\it b1}\,{\it c2} \,y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1} }^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\, {\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a1}\,{\it b1}\,x-\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{\it b0}\,x+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{ \it b1}\,y \left ( x \right ) -{{\it b1}}^{3} \left ( y \left ( x \right ) \right ) ^{2}+2\,{{\it a2}}^{2}{\it b0}\,xy \left ( x \right ) +2\,{\it a2}\,{\it b0}\,{\it c2}\,y \left ( x \right ) -{{\it a1}}^{2}{\it b1}\,{ x}^{2}+{{\it a1}}^{2}{\it c2}\,x-{\it a1}\,{\it a2}\,{\it b1}\,xy \left ( x \right ) +3\,{\it a2}\,{\it b0}\,{\it b1}\,xy \left ( x \right ) -{\it a1}\,{\it a2}\,{\it c1}\,x-2\,{\it a1}\,{\it b1}\,{\it c1}\,x+{\it a1}\,{\it a2}\,{\it b0}\,{x}^{2}+{\it a1}\,{\it b0}\,{\it c2}\,x+{\it a2}\,{\it b0}\,{\it c1}\,x-2\,{\it a0}\,{\it a2}\,{\it c2} \,x-{\it a2}\,{{\it c1}}^{2}-{\it b1}\,{{\it c1}}^{2}-2\,{\it a0}\,{{ \it c2}}^{2} \right ) } \right ) ^{-{\frac {2\,{\it a2}+{\it b1}}{2\,{ \it a2}+2\,{\it b1}}}} \left ( -{\it a1}\,{\it b1}\,x+2\,{\it a2}\,{ \it b0}\,x-{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+2\,{\it b0}\,{ \it c2}-{\it b1}\,{\it c1} \right ) \int ^{{\frac {1}{2\,{\it a2}\,x+2 \,{\it c2}} \left ( -{\it a1}\,x-{\it b1}\,y \left ( x \right ) -{\it c1} +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}} \right ) }}\!- {\frac {{{\it \_a}}^{2}{\it b1}\,{\it c2}+2\,{\it \_a}\,{\it b0}\,{ \it c2}+{\it b0}\,{\it c1}-{\it b1}\,{\it c0}}{ \left ( {\it \_a}\,{ \it b1}+{\it b0} \right ) ^{2}} \left ( {{\it \_a}}^{2}{\it a2}+{{\it \_a}}^{2}{\it b1}+{\it \_a}\,{\it a1}+{\it \_a}\,{\it b0}+{\it a0} \right ) ^{-{\frac {{\it b1}}{2\,{\it a2}+2\,{\it b1}}}}{{\rm e}^{2\,{ \frac {{\it a1}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{ \it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}\arctan \left ( { \frac {2\,{\it \_a}\,{\it a2}+2\,{\it \_a}\,{\it b1}+{\it a1}+{\it b0} }{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2 \,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}} \right ) }-{\frac {{\it b1}\,{ \it b0}}{{\it a2}+{\it b1}}\arctan \left ( {(2\,{\it \_a}\,{\it a2}+2\, {\it \_a}\,{\it b1}+{\it a1}+{\it b0}){\frac {1}{\sqrt {4\,{\it a0}\,{ \it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{ \it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{ \it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} }}}-2\,{\frac {{\it a2}\,{\it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{ \it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {2\,{\it \_a} \,{\it a2}+2\,{\it \_a}\,{\it b1}+{\it a1}+{\it b0}}{\sqrt {4\,{\it a0 }\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0} -{{\it b0}}^{2}}}} \right ) }-{\frac {{\it b1}\,{\it a1}}{{\it a2}+{ \it b1}}\arctan \left ( {(2\,{\it \_a}\,{\it a2}+2\,{\it \_a}\,{\it b1} +{\it a1}+{\it b0}){\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0} \,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1} -{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{ \it a1}\,{\it a2}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}- {{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{ \it b1} \right ) }\arctan \left ( {\frac {2\,{\it \_a}\,{\it a2}+2\,{ \it \_a}\,{\it b1}+{\it a1}+{\it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\, {\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2} }}} \right ) }}}}{d{\it \_a}}{{\rm e}^{2\,{\frac {{\it a1}\,{\it a2}}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) } \arctan \left ( {\frac {-{\it a1}\,{\it b1}\,x+{\it a2}\,{\it b0}\,x-{ \it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }+{\frac {{\it b1}\,{\it a1}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( -{\it a1}\, {\it b1}\,x+{\it a2}\,{\it b0}\,x-{\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{ x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{ \it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1} \right ) {\frac {1}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}}+2\,{\frac {{\it a2}\,{\it b0}}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {-{\it a1}\,{\it b1}\,x+{\it a2}\,{\it b0}\,x-{\it a2} \,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) + \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1} }{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4 \,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{ 2}}}} \right ) }+{\frac {{\it b1}\,{\it b0}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( -{\it a1}\,{\it b1}\,x +{\it a2}\,{\it b0}\,x-{\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{ \it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{ \it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+ {\it b0}\,{\it c2}-{\it b1}\,{\it c1} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{ \it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{ \it b0}}^{2}}}}}-2\,{\frac {{\it a1}}{\sqrt {4\,{\it a0}\,{\it a2}+4\, {\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2} }}\arctan \left ( {\frac {-{\it a1}\,{\it b1}\,x+{\it a2}\,{\it b0}\,x- {\it a2}\,{\it b1}\,y \left ( x \right ) -{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}+{\it a1}\,{\it c2}-{\it a2}\,{\it c1}+{\it b0}\,{\it c2}-{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }}}}=0,{\frac {{\it \_C1}}{{\it a2}\,x+{\it c2}} \left ( {\it a1}\,{\it b1}\,x-2\,{\it a2}\,{\it b0}\,x+{{\it b1}}^ {2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1 }}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2} \,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}-2\,{\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) \left ( {\frac {1}{2\, \left ( {\it a2}\,x+{\it c2} \right ) ^{2}} \left ( -2\,{\it a0}\,{\it a2}\,{\it b1}\,{x}^{2}-2\,{ \it a0}\,{\it b1}\,{\it c2}\,x-2\,{\it a2}\,{\it b1}\,{\it c0}\,x-{ \it a1}\,{\it c1}\,{\it c2}-{\it b0}\,{\it c1}\,{\it c2}-2\,{{\it a2}} ^{2}{\it c0}\,x-2\,{\it a2}\,{\it c0}\,{\it c2}-2\,{\it b1}\,{\it c0} \,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2 }+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,x y \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{{ \it b1}}^{2}y \left ( x \right ) -\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a1}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2 }\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{\it c1}-\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b0}\,{\it c2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}\,{ \it c1}+{\it a2}\,{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{ 2}+2\,{{\it b1}}^{2}{\it c1}\,y \left ( x \right ) +2\,{\it a2}\,{\it b1 }\,{\it c1}\,y \left ( x \right ) +2\,{\it a1}\,{{\it b1}}^{2}xy \left ( x \right ) -{\it a1}\,{\it b1}\,{\it c2}\,y \left ( x \right ) -3\,{\it b0}\,{\it b1}\,{\it c2}\,y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a1}\,{\it b1}\,x- \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{ \it b0}\,x+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2 }+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,x y \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{3} \left ( y \left ( x \right ) \right ) ^{2}-2\,{{\it a2}}^{2}{\it b0}\,xy \left ( x \right ) -2\,{\it a2}\,{\it b0}\,{\it c2}\,y \left ( x \right ) +{{\it a1}}^{2}{\it b1}\,{x}^{2}-{{\it a1}}^{2}{\it c2}\,x+{\it a1}\,{\it a2} \,{\it b1}\,xy \left ( x \right ) -3\,{\it a2}\,{\it b0}\,{\it b1}\,xy \left ( x \right ) +{\it a1}\,{\it a2}\,{\it c1}\,x+2\,{\it a1}\,{\it b1}\,{\it c1}\,x-{\it a1}\,{\it a2}\,{\it b0}\,{x}^{2}-{\it a1}\,{\it b0}\,{\it c2}\,x-{\it a2}\,{\it b0}\,{\it c1}\,x+2\,{\it a0}\,{\it a2} \,{\it c2}\,x+{\it a2}\,{{\it c1}}^{2}+{\it b1}\,{{\it c1}}^{2}+2\,{ \it a0}\,{{\it c2}}^{2} \right ) } \right ) ^{-{\frac {2\,{\it a2}+{\it b1}}{2\,{\it a2}+2\,{\it b1}}}}{{\rm e}^{-2\,{\frac {{\it a1}\,{\it a2 }}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2 \,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }-{\frac {{\it b1}\,{\it a1}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( {\it a1}\,{ \it b1}\,x-{\it a2}\,{\it b0}\,x+{\it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{ x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{ \it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) {\frac {1}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{\it a2}\,{\it b0}}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{\it a2}\, {\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{ \it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1} }{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4 \,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{ 2}}}} \right ) }-{\frac {{\it b1}\,{\it b0}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( {\it a1}\,{\it b1}\,x- {\it a2}\,{\it b0}\,x+{\it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1 }}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{ \it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{ \it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}- {\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{ \it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{ \it b0}}^{2}}}}}+2\,{\frac {{\it a1}}{\sqrt {4\,{\it a0}\,{\it a2}+4\, {\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2} }}\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }}}}+x+{\frac {1}{2\,{\it a2}\,x+2\,{\it c2} } \left ( {\it a1}\,{\it b1}\,x-2\,{\it a2}\,{\it b0}\,x+{{\it b1}}^{2} y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^ {2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}-2\,{\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) \int ^{-{\frac {1}{2\,{\it a2}\,x+2\,{\it c2}} \left ( { \it a1}\,x+{\it b1}\,y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2} \,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}+{\it c1} \right ) }}\!-{\frac {{{\it \_a} }^{2}{\it b1}\,{\it c2}+2\,{\it \_a}\,{\it b0}\,{\it c2}+{\it b0}\,{ \it c1}-{\it b1}\,{\it c0}}{ \left ( {\it \_a}\,{\it b1}+{\it b0} \right ) ^{2}} \left ( {{\it \_a}}^{2}{\it a2}+{{\it \_a}}^{2}{\it b1}+ {\it \_a}\,{\it a1}+{\it \_a}\,{\it b0}+{\it a0} \right ) ^{-{\frac {{ \it b1}}{2\,{\it a2}+2\,{\it b1}}}}{{\rm e}^{2\,{\frac {{\it a1}}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}}}\arctan \left ( {\frac {2\,{\it \_a} \,{\it a2}+2\,{\it \_a}\,{\it b1}+{\it a1}+{\it b0}}{\sqrt {4\,{\it a0 }\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0} -{{\it b0}}^{2}}}} \right ) }-{\frac {{\it b1}\,{\it b0}}{{\it a2}+{ \it b1}}\arctan \left ( {(2\,{\it \_a}\,{\it a2}+2\,{\it \_a}\,{\it b1} +{\it a1}+{\it b0}){\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0} \,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1} -{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{ \it a2}\,{\it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}- {{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{ \it b1} \right ) }\arctan \left ( {\frac {2\,{\it \_a}\,{\it a2}+2\,{ \it \_a}\,{\it b1}+{\it a1}+{\it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\, {\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2} }}} \right ) }-{\frac {{\it b1}\,{\it a1}}{{\it a2}+{\it b1}}\arctan \left ( {(2\,{\it \_a}\,{\it a2}+2\,{\it \_a}\,{\it b1}+{\it a1}+{\it b0}){\frac {1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{ \it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac { 1}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2 \,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{\it a1}\,{\it a2} }{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2 \,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {2\,{\it \_a}\,{\it a2}+2\,{\it \_a}\,{\it b1}+ {\it a1}+{\it b0}}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}- {{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2}}}} \right ) }}}}{d{ \it \_a}} \left ( {\frac {1}{2\, \left ( {\it a2}\,x+{\it c2} \right ) ^{ 2}} \left ( -2\,{\it a0}\,{\it a2}\,{\it b1}\,{x}^{2}-2\,{\it a0}\,{ \it b1}\,{\it c2}\,x-2\,{\it a2}\,{\it b1}\,{\it c0}\,x-{\it a1}\,{ \it c1}\,{\it c2}-{\it b0}\,{\it c1}\,{\it c2}-2\,{{\it a2}}^{2}{\it c0}\,x-2\,{\it a2}\,{\it c0}\,{\it c2}-2\,{\it b1}\,{\it c0}\,{\it c2} +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{{\it b1}}^{2} y \left ( x \right ) -\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^ {2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{ \it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1} \,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a1}\,{\it c2}+\sqrt {-4\,{\it a0}\,{\it a2 }\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{\it c1}-\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b0}\,{\it c2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}\,{ \it c1}+{\it a2}\,{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{ 2}+2\,{{\it b1}}^{2}{\it c1}\,y \left ( x \right ) +2\,{\it a2}\,{\it b1 }\,{\it c1}\,y \left ( x \right ) +2\,{\it a1}\,{{\it b1}}^{2}xy \left ( x \right ) -{\it a1}\,{\it b1}\,{\it c2}\,y \left ( x \right ) -3\,{\it b0}\,{\it b1}\,{\it c2}\,y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{ \it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2} \,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{ \it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a1}\,{\it b1}\,x- \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}\,{ \it b0}\,x+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2 }+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,x y \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{3} \left ( y \left ( x \right ) \right ) ^{2}-2\,{{\it a2}}^{2}{\it b0}\,xy \left ( x \right ) -2\,{\it a2}\,{\it b0}\,{\it c2}\,y \left ( x \right ) +{{\it a1}}^{2}{\it b1}\,{x}^{2}-{{\it a1}}^{2}{\it c2}\,x+{\it a1}\,{\it a2} \,{\it b1}\,xy \left ( x \right ) -3\,{\it a2}\,{\it b0}\,{\it b1}\,xy \left ( x \right ) +{\it a1}\,{\it a2}\,{\it c1}\,x+2\,{\it a1}\,{\it b1}\,{\it c1}\,x-{\it a1}\,{\it a2}\,{\it b0}\,{x}^{2}-{\it a1}\,{\it b0}\,{\it c2}\,x-{\it a2}\,{\it b0}\,{\it c1}\,x+2\,{\it a0}\,{\it a2} \,{\it c2}\,x+{\it a2}\,{{\it c1}}^{2}+{\it b1}\,{{\it c1}}^{2}+2\,{ \it a0}\,{{\it c2}}^{2} \right ) } \right ) ^{-{\frac {2\,{\it a2}+{\it b1}}{2\,{\it a2}+2\,{\it b1}}}}{{\rm e}^{-2\,{\frac {{\it a1}\,{\it a2 }}{\sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2 \,{\it a1}\,{\it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }-{\frac {{\it b1}\,{\it a1}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( {\it a1}\,{ \it b1}\,x-{\it a2}\,{\it b0}\,x+{\it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{ x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{ \it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{ \it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) {\frac {1}{ \sqrt {4\,{\it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{ \it a1}\,{\it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}}-2\,{\frac {{\it a2}\,{\it b0}}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}} \left ( {\it a2}+{\it b1} \right ) }\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{\it a2}\, {\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{ \it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it a2}+ \sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{ \it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{\it c0}\,x -4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1} }{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0}\,{\it a2}+4 \,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{ 2}}}} \right ) }-{\frac {{\it b1}\,{\it b0}}{{\it a2}+{\it b1}}\arctan \left ( {\frac {1}{{\it a2}\,x+{\it c2}} \left ( {\it a1}\,{\it b1}\,x- {\it a2}\,{\it b0}\,x+{\it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1 }}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{ \it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{ \it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2} +{{\it a1}}^{2}{x}^{2}+2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\, {\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^{2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\, {\it c1}\,x-4\,{\it a2}\,{\it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{\it c1}\,y \left ( x \right ) -4\,{\it c0}\,{ \it c2}+{{\it c1}}^{2}}{\it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}- {\it b0}\,{\it c2}+{\it b1}\,{\it c1} \right ) {\frac {1}{\sqrt {4\,{ \it a0}\,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{ \it b0}-{{\it b0}}^{2}}}}} \right ) {\frac {1}{\sqrt {4\,{\it a0}\,{ \it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{ \it b0}}^{2}}}}}+2\,{\frac {{\it a1}}{\sqrt {4\,{\it a0}\,{\it a2}+4\, {\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}-{{\it b0}}^{2} }}\arctan \left ( {\frac {{\it a1}\,{\it b1}\,x-{\it a2}\,{\it b0}\,x+{ \it a2}\,{\it b1}\,y \left ( x \right ) +{{\it b1}}^{2}y \left ( x \right ) +\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2} +2\,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it a2}+\sqrt {-4\,{\it a0}\,{\it a2}\,{x}^{2}+{{\it a1}}^{2}{x}^{2}+2 \,{\it a1}\,{\it b1}\,xy \left ( x \right ) -4\,{\it a2}\,{\it b0}\,xy \left ( x \right ) +{{\it b1}}^{2} \left ( y \left ( x \right ) \right ) ^ {2}-4\,{\it a0}\,{\it c2}\,x+2\,{\it a1}\,{\it c1}\,x-4\,{\it a2}\,{ \it c0}\,x-4\,{\it b0}\,{\it c2}\,y \left ( x \right ) +2\,{\it b1}\,{ \it c1}\,y \left ( x \right ) -4\,{\it c0}\,{\it c2}+{{\it c1}}^{2}}{ \it b1}-{\it a1}\,{\it c2}+{\it a2}\,{\it c1}-{\it b0}\,{\it c2}+{\it b1}\,{\it c1}}{ \left ( {\it a2}\,x+{\it c2} \right ) \sqrt {4\,{\it a0} \,{\it a2}+4\,{\it a0}\,{\it b1}-{{\it a1}}^{2}-2\,{\it a1}\,{\it b0}- {{\it b0}}^{2}}}} \right ) }}}}=0 \right \} \]