2.1115   ODE No. 1115

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

\[ x y''(x)-(3 x-2) y'(x)-(2 x-3) y(x)=0 \] Mathematica : cpu = 0.0631802 (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 = 0.099 (sec), leaf count = 55

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}\left (1-{\frac {6\,\sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{{\rm e}^{-{\frac {x \left ( -3+\sqrt {17} \right ) }{2}}}}+{\it \_C2}\,{{\sl U}\left (1-{\frac {6\,\sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{{\rm e}^{-{\frac {x \left ( -3+\sqrt {17} \right ) }{2}}}} \right \} \]