2.1486   ODE No. 1486

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

\[ (2 x-1) y^{(3)}(x)-8 x y'(x)+8 y(x)=0 \] Mathematica : cpu = 0.331237 (sec), leaf count = 65

\[\left \{\left \{y(x)\to \frac {1}{4} c_3 x \left (\frac {e^{2 x-2} \text {Ei}(2-4 x)}{x}-\frac {2 \text {Ei}(1-2 x)}{e}-\frac {e^{-2 x}}{x}\right )+c_1 x-c_2 e^{2 x}\right \}\right \}\] Maple : cpu = 0.208 (sec), leaf count = 51

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