2.1115   ODE No. 1115

\[ x y''(x)-(3 x-2) y'(x)+(3-2 x) y(x)=0 \] Mathematica : cpu = 0.0478526 (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 = 0.727 (sec), leaf count = 47


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