2.1161   ODE No. 1161

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

\[ -(a+x) y(x)+x^2 y''(x)+x y'(x)=0 \] Mathematica : cpu = 0.036541 (sec), leaf count = 78

\[\left \{\left \{y(x)\to (-1)^{-\sqrt {a}} c_1 \Gamma \left (1-2 \sqrt {a}\right ) I_{-2 \sqrt {a}}\left (2 \sqrt {x}\right )+(-1)^{\sqrt {a}} c_2 \Gamma \left (2 \sqrt {a}+1\right ) I_{2 \sqrt {a}}\left (2 \sqrt {x}\right )\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl I}_{2\,\sqrt {a}}\left (2\,\sqrt {x}\right )}+{\it \_C2}\,{{\sl K}_{2\,\sqrt {a}}\left (2\,\sqrt {x}\right )} \right \} \]