2.1304   ODE No. 1304

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

\[ x^3 y''(x)+x y'(x)-(2 x+3) y(x)=0 \] Mathematica : cpu = 0.0359228 (sec), leaf count = 50

\[\left \{\left \{y(x)\to \frac {c_2 \left (e^{\frac {1}{x}} \text {Ei}\left (-\frac {1}{x}\right )+2 x^3-x^2+x\right )}{6 x}+\frac {c_1 e^{\frac {1}{x}}}{x}\right \}\right \}\]

Maple : cpu = 0.034 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{{\rm e}^{{x}^{-1}}}}{x}}+{\frac {{\it \_C2}\, \left ( -2\,{x}^{3}+{{\rm e}^{{x}^{-1}}}{\it Ei} \left ( 1,{x}^{-1} \right ) +{x}^{2}-x \right ) }{x}} \right \} \]