3.467   ODE No. 467

\[ \boxed { y \left ( x \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-4\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) =0} \]

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

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

Maple: cpu = 0.655 (sec), leaf count = 148 \[ \left \{ -{\frac {{\it \_C1}\,x}{y \left ( x \right ) }{\frac {1}{\sqrt [3]{{\frac {1}{y \left ( x \right ) } \left ( 2\,x-\sqrt {4\,{x}^{2}- \left ( y \left ( x \right ) \right ) ^{2}} \right ) }}}}{\frac {1}{ \sqrt [3]{{\frac {1}{ \left ( y \left ( x \right ) \right ) ^{2}} \left ( 8\,{x}^{2}-4\, \left ( y \left ( x \right ) \right ) ^{2}-4\,x\sqrt {4\,{ x}^{2}- \left ( y \left ( x \right ) \right ) ^{2}} \right ) }}}}}+x=0,-{ \frac {{\it \_C1}\,x}{y \left ( x \right ) }{\frac {1}{\sqrt [3]{{\frac {1}{y \left ( x \right ) } \left ( 2\,x+\sqrt {4\,{x}^{2}- \left ( y \left ( x \right ) \right ) ^{2}} \right ) }}}}{\frac {1}{\sqrt [3]{{ \frac {1}{ \left ( y \left ( x \right ) \right ) ^{2}} \left ( x\sqrt {4\, {x}^{2}- \left ( y \left ( x \right ) \right ) ^{2}}+2\,{x}^{2}- \left ( y \left ( x \right ) \right ) ^{2} \right ) }}}}}+x=0 \right \} \]