ODE No. 1273

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

\[ 4 x^2 y''(x)-y(x) \left (-4 k x+4 m^2+x^2-1\right )=0 \] Mathematica : cpu = 0.0170365 (sec), leaf count = 20

\[\left \{\left \{y(x)\to c_1 M_{k,m}(x)+c_2 W_{k,m}(x)\right \}\right \}\] Maple : cpu = 0.088 (sec), leaf count = 17

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{k,\,m}\left (x\right )}+{\it \_C2}\,{{\sl W}_{k,\,m}\left (x\right )} \right \} \]