2.1115   ODE No. 1115

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

\[ x y''(x)-(3 x-2) y'(x)+(3-2 x) y(x)=0 \] Mathematica : cpu = 0.0519023 (sec), leaf count = 76

\[\left \{\left \{y(x)\to c_2 e^{-\frac {1}{2} \left (\sqrt {17}-3\right ) x} \, _1F_1\left (1-\frac {6}{\sqrt {17}};2;\sqrt {17} x\right )+c_1 e^{-\frac {1}{2} \left (\sqrt {17}-3\right ) x} U\left (1-\frac {6}{\sqrt {17}},2,\sqrt {17} x\right )\right \}\right \}\] Maple : cpu = 1.483 (sec), leaf count = 47

\[\left \{y \left (x \right ) = \left (c_{1} \KummerM \left (1-\frac {6 \sqrt {17}}{17}, 2, \sqrt {17}\, x \right )+c_{2} \KummerU \left (1-\frac {6 \sqrt {17}}{17}, 2, \sqrt {17}\, x \right )\right ) {\mathrm e}^{-\frac {\left (-3+\sqrt {17}\right ) x}{2}}\right \}\]