2.1045   ODE No. 1045

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

\[ y''(x)-x y'(x)+(x-1) y(x)=0 \] Mathematica : cpu = 0.0465083 (sec), leaf count = 39

\[\left \{\left \{y(x)\to \sqrt {\frac {\pi }{2}} c_2 e^{x-2} \text {erfi}\left (\frac {x-2}{\sqrt {2}}\right )+c_1 e^x\right \}\right \}\] Maple : cpu = 0.016 (sec), leaf count = 21

\[\left \{y \left (x \right ) = \left (c_{1} \erf \left (\frac {i \sqrt {2}\, \left (x -2\right )}{2}\right )+c_{2}\right ) {\mathrm e}^{x}\right \}\]