#### 2.465   ODE No. 465

$y(x) y'(x)^2+2 x y'(x)-9 y(x)=0$ Mathematica : cpu = 304.073 (sec), leaf count = 0 , timed out

\$Aborted

Maple : cpu = 0.15 (sec), leaf count = 210

$\left \{ {{\it \_C1}\,x \left ( x+\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) \left ( {\frac {1}{y \left ( x \right ) } \left ( -x-\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) ^{{\frac {2}{7}}} \left ( x\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}}+{x}^{2}+ \left ( y \left ( x \right ) \right ) ^{2} \right ) ^{-1}{\frac {1}{\sqrt [7]{{\frac {1}{ \left ( y \left ( x \right ) \right ) ^{2}} \left ( x\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}}+{x}^{2}+ \left ( y \left ( x \right ) \right ) ^{2} \right ) }}}}}+x=0,-{{\it \_C1}\,x \left ( x-\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) \left ( {\frac {1}{y \left ( x \right ) } \left ( -x+\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) } \right ) ^{{\frac {2}{7}}}{\frac {1}{\sqrt [7]{{\frac {1}{ \left ( y \left ( x \right ) \right ) ^{2}} \left ( 2\,{x}^{2}+2\, \left ( y \left ( x \right ) \right ) ^{2}-2\,x\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) }}}} \left ( 2\,{x}^{2}+2\, \left ( y \left ( x \right ) \right ) ^{2}-2\,x\sqrt {{x}^{2}+9\, \left ( y \left ( x \right ) \right ) ^{2}} \right ) ^{-1}}+x=0 \right \}$