2.1181   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 = 0.0467607 (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 = 0.021 (sec), leaf count = 25

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