2.1267   ODE No. 1267

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

\[ -\left (l+2 x^2-5 x\right ) y'(x)+2 x^2 y''(x)-(4 x-1) y(x)=0 \] Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.073 (sec), leaf count = 41

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