4.45   ODE No. 1045

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( x-1 \right ) y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.021003 (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 = 28 \[ \left \{ y \left ( x \right ) ={\it Erf} \left ( {\frac {i}{2}}\sqrt {2}x -i\sqrt {2} \right ) {{\rm e}^{x}}{\it \_C1}+{\it \_C2}\,{{\rm e}^{x}} \right \} \]