2.1485   ODE No. 1485

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

\[ (x-2) x y^{(3)}(x)-(x-2) x y''(x)-2 y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.239767 (sec), leaf count = 64

\[\left \{\left \{y(x)\to \frac {1}{4} c_3 x^2 \left (-\frac {4 e^{x-2} \text {Ei}(2-x)}{x^2}+\frac {2}{x^2}+\frac {2}{x}+\log (2-x)-\log (x)\right )+c_1 x^2+c_2 e^x\right \}\right \}\] Maple : cpu = 0.3 (sec), leaf count = 51

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