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 = 0.0741216 (sec), leaf count = 74

\[\left \{\left \{y(x)\to \frac {1}{4} c_2 e^{-x/2} x \, _1F_1\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1;2;x\right )+\frac {1}{4} c_1 e^{-x/2} x U\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1,2,x\right )\right \}\right \}\] Maple : cpu = 0.142 (sec), leaf count = 25

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