2.1307   ODE No. 1307

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

\[ x^3 y''(x)+(x+1) x y'(x)-2 y(x)=0 \] Mathematica : cpu = 0.116997 (sec), leaf count = 54

\[\left \{\left \{y(x)\to \frac {c_1 e^{\frac {1}{x}} (x+1)}{x}-\frac {c_2 \left (e^{\frac {1}{x}} x \text {Ei}\left (-\frac {1}{x}\right )+e^{\frac {1}{x}} \text {Ei}\left (-\frac {1}{x}\right )+x\right )}{x}\right \}\right \}\] Maple : cpu = 0.055 (sec), leaf count = 36

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