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 = 0.022823 (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 = 0.009 (sec), leaf count = 28

\[ \left \{ y \left ( x \right ) ={\it Erf} \left ( {\frac {i}{2}}\sqrt {2}x-i\sqrt {2} \right ) {{\rm e}^{x}}{\it \_C1}+{\it \_C2}\,{{\rm e}^{x}} \right \} \]