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 = 0.0390096 (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 = 0.061 (sec), leaf count = 20

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