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 = 0.114272 (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 = 0.074 (sec), leaf count = 36

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