2.1270   ODE No. 1270

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

\[ \left (2 x^2+6 x+4\right ) y''(x)+\left (10 x^2+21 x+8\right ) y'(x)+\left (12 x^2+17 x+8\right ) y(x)=0 \] Mathematica : cpu = 303.607 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.539 (sec), leaf count = 46

\[ \left \{ y \left ( x \right ) ={{\rm e}^{-2\,x}} \left ( x+2 \right ) ^{4} \left ( {\it \_C2}\,{\it HeunC} \left ( -1,{\frac {5}{2}},4,-{\frac {7}{4}},{\frac {7}{2}},-1-x \right ) \left ( 1+x \right ) ^{{\frac {5}{2}}}+{\it \_C1}\,{\it HeunC} \left ( -1,-{\frac {5}{2}},4,-{\frac {7}{4}},{\frac {7}{2}},-1-x \right ) \right ) \right \} \]