3.524   ODE No. 524

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}-2\,y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}=0} \]

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

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

Maple: cpu = 0.047 (sec), leaf count = 295 \[ \left \{ x-\int ^{y \left ( x \right ) }\!6\,{\frac {\sqrt [3]{-108\,{{ \it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{\it \_a}}^{3} \left ( 27\,{\it \_a} -32 \right ) }}}{ \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{ \it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) } \right ) ^{2/3}+24\,{ \it \_a}}}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!24 \,{\frac {\sqrt [3]{-108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{\it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) }}}{ \left ( i\sqrt {3}-1 \right ) \left ( i \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{ \it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) } \right ) ^{2/3}\sqrt {3 }- \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{\it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) } \right ) ^{2/3}+48\,{\it \_a} \right ) }}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!- 24\,{\frac {\sqrt [3]{-108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{\it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) }}}{ \left ( i\sqrt {3}+1 \right ) \left ( -i \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{ {\it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) } \right ) ^{2/3}\sqrt { 3}- \left ( -108\,{{\it \_a}}^{2}+12\,\sqrt {3}\sqrt {{{\it \_a}}^{3} \left ( 27\,{\it \_a}-32 \right ) } \right ) ^{2/3}+48\,{\it \_a} \right ) }}{d{\it \_a}}-{\it \_C1}=0 \right \} \]