4.136   ODE No. 1136

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

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

Mathematica: cpu = 0.020503 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to c_2 e^{x/2} \text {Ei}(-x)+c_1 e^{x/2}\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {x}{2}}}}+{ \it \_C2}\,{{\rm e}^{{\frac {x}{2}}}}{\it Ei} \left ( 1,x \right ) \right \} \]