ODE No. 1181

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

\[ x^2 y''(x)+(3 x-1) y'(x)+y(x)=0 \] Mathematica : cpu = 0.0449853 (sec), leaf count = 37

\[\left \{\left \{y(x)\to \frac {c_1 e^{-1/x}}{x}-\frac {c_2 e^{-1/x} \text {Ei}\left (\frac {1}{x}\right )}{x}\right \}\right \}\] Maple : cpu = 0.026 (sec), leaf count = 25

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