2.1263   ODE No. 1263

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

\[ -(20 x+30) \left (x^2+3 x\right )^{7/3}+x (x+3) y''(x)+(3 x-1) y'(x)+y(x)=0 \] Mathematica : cpu = 299.997 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.134 (sec), leaf count = 52

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