2.1114   ODE No. 1114

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

\[ -2 (x-1) y'(x)+x y''(x)-y(x)=0 \] Mathematica : cpu = 0.0375023 (sec), leaf count = 39

\[\left \{\left \{y(x)\to c_2 G_{1,2}^{2,0}\left (-2 x\left |\begin {array}{c} \frac {1}{2} \\ -1,0 \\\end {array}\right .\right )+c_1 e^x (I_0(x)-I_1(x))\right \}\right \}\] Maple : cpu = 0.079 (sec), leaf count = 34

\[ \left \{ y \left ( x \right ) ={{\rm e}^{x}} \left ( {\it \_C2}\,{{\sl K}_{1}\left (-x\right )}-{\it \_C2}\,{{\sl K}_{0}\left (-x\right )}+{\it \_C1}\, \left ( {{\sl I}_{0}\left (x\right )}-{{\sl I}_{1}\left (x\right )} \right ) \right ) \right \} \]