8.230   ODE No. 1820

\[ \boxed { \left ( {\it f1}\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\it f2}\,y \left ( x \right ) \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +{\it f3}\, \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+{\it f4} \left ( x \right ) y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\it f5} \left ( x \right ) \left ( y \left ( x \right ) \right ) ^{2}=0} \]

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

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

Maple: cpu = 0.780 (sec), leaf count = 81 \[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {{\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}},[ \left \{ {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) =-{\frac { \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{3}{\it f1}+ \left ( {\it f2}+{\it f3} \right ) \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{2}+{\it f4} \left ( {\it \_a} \right ) {\it \_b} \left ( {\it \_a} \right ) +{\it f5} \left ( {\it \_a} \right ) }{{\it \_b} \left ( {\it \_a} \right ) {\it f1}+{\it f2}}} \right \} , \left \{ {\it \_a}=x,{\it \_b} \left ( {\it \_a} \right ) ={ \frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{y \left ( x \right ) }} \right \} , \left \{ x={\it \_a},y \left ( x \right ) ={ {\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+ {\it \_C1}}} \right \} ] \right ) \right \} \]