2.1447   ODE No. 1447

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

\[ y''(x)=-\frac {(-x-1) y(x)}{x^4}-\frac {y'(x)}{x} \] Mathematica : cpu = 0.0256885 (sec), leaf count = 29

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

Maple : cpu = 0.047 (sec), leaf count = 24

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