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 = 0.087026 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {-c_2 e^{\frac {1}{x}} (x+1) \text {Ei}\left (-\frac {1}{x}\right )+c_1 e^{\frac {1}{x}} (x+1)-c_2 x}{x}\right \}\right \}\]

Maple : cpu = 0.058 (sec), leaf count = 36

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