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 = 0.0514674 (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 = 0.055 (sec), leaf count = 38

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