2.1139   ODE No. 1139

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

\[ (-a-x) y(x)+16 x y''(x)+8 y'(x)=0 \] Mathematica : cpu = 0.012738 (sec), leaf count = 74

\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{4} (2 \log (x)-x)} U\left (\frac {a+6}{8},\frac {3}{2},\frac {x}{2}\right )+c_2 e^{\frac {1}{4} (2 \log (x)-x)} L_{\frac {1}{8} (-a-6)}^{\frac {1}{2}}\left (\frac {x}{2}\right )\right \}\right \}\] Maple : cpu = 0.187 (sec), leaf count = 37

\[\left \{y \left (x \right ) = \left (c_{1} \KummerM \left (\frac {a}{8}+\frac {3}{4}, \frac {3}{2}, \frac {x}{2}\right )+c_{2} \KummerU \left (\frac {a}{8}+\frac {3}{4}, \frac {3}{2}, \frac {x}{2}\right )\right ) \sqrt {x}\, {\mathrm e}^{-\frac {x}{4}}\right \}\]