4.447   ODE No. 1447

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =-{\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x}}-{\frac { \left ( -1-x \right ) y \left ( x \right ) }{{x}^{4}}}=0} \]

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

Mathematica: cpu = 0.020002 (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 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{x}^{-1}}}+{\it \_C2}\,{{\rm e}^{{x}^{-1}}}{\it Ei} \left ( 1,2\,{x}^{-1} \right ) \right \} \]