2.1109   ODE No. 1109

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

\[ -x y'(x)+x y''(x)-y(x)-e^x x (x+1)=0 \] Mathematica : cpu = 0.131918 (sec), leaf count = 45

\[\left \{\left \{y(x)\to c_2 \left (-e^x x \text {Ei}(-x)-1\right )+e^x \left (x^2+x-x \log (-x)-1\right )+c_1 e^x x\right \}\right \}\] Maple : cpu = 0.109 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={{\rm e}^{x}} \left ( -{\it Ei} \left ( 1,x \right ) x{\it \_C1}+{{\rm e}^{-x}}{\it \_C1}-x\ln \left ( x \right ) +x{\it \_C2}+{x}^{2}-1 \right ) \right \} \]