2.1506   ODE No. 1506

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

\[ 4 x^2 y^{(3)}(x)+\left (x^2+14 x-1\right ) y''(x)+4 (x+1) y'(x)+2 y(x)=0 \] Mathematica : cpu = 300.065 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.074 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}+\int \!{\frac {2\,{\it \_C1}\,x+{\it \_C2}}{4}{{\rm e}^{{\frac {x}{4}}}}{{\rm e}^{{\frac {1}{4\,x}}}}{x}^{-{\frac {5}{2}}}}\,{\rm d}x \right ) {{\rm e}^{-{\frac {x}{4}}}}\sqrt {x}{{\rm e}^{-{\frac {1}{4\,x}}}} \right \} \]