4.263   ODE No. 1263

\[ \boxed { x \left ( x+3 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( 3\,x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) - \left ( 20\,x+30 \right ) \left ( {x}^{2}+3\,x \right ) ^{7/3}=0} \]

  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 = 52 \[ \left \{ y \left ( x \right ) ={1 \left ( {\it \_C2}+\int \!{\frac {1}{{x }^{2}+3\,x} \left ( {\it \_C1}+3\, \left ( {x}^{2}+3\,x \right ) ^{7/3}x \left ( x+3 \right ) \right ) \left ( x+3 \right ) ^{{\frac {7}{3}}}{x}^ {-{\frac {4}{3}}}}\,{\rm d}x \right ) {x}^{{\frac {4}{3}}} \left ( x+3 \right ) ^{-{\frac {7}{3}}}} \right \} \]