2.1137   ODE No. 1137

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

\[ l y(x)+4 x y''(x)-(x+2) y(x)+4 y(x)=0 \] Mathematica : cpu = 0.0984645 (sec), leaf count = 48

\[\left \{\left \{y(x)\to \frac {1}{4} e^{-x/2} x \left (c_2 \, _1F_1\left (\frac {1}{2}-\frac {l}{4};2;x\right )+c_1 U\left (\frac {1}{2}-\frac {l}{4},2,x\right )\right )\right \}\right \}\]

Maple : cpu = 0.05 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{{\frac {l}{4}}+{\frac {1}{2}},\,{\frac {1}{2}}}\left (x\right )}+{\it \_C2}\,{{\sl W}_{{\frac {l}{4}}+{\frac {1}{2}},\,{\frac {1}{2}}}\left (x\right )} \right \} \]