2.1044   ODE No. 1044

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

\[ -a y(x)-x y'(x)+y''(x)=0 \] Mathematica : cpu = 0.0056349 (sec), leaf count = 39

\[\left \{\left \{y(x)\to c_1 H_{-a}\left (\frac {x}{\sqrt {2}}\right )+c_2 \, _1F_1\left (\frac {a}{2};\frac {1}{2};\frac {x^2}{2}\right )\right \}\right \}\] Maple : cpu = 0.33 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) =x \left ( {{\sl U}\left ({\frac {1}{2}}+{\frac {a}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C2}+{{\sl M}\left ({\frac {1}{2}}+{\frac {a}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C1} \right ) \right \} \]