2.1199   ODE No. 1199

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

\[ x^2 y''(x)-(x+4) x y'(x)+4 y(x)=0 \] Mathematica : cpu = 0.0140166 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_2 e^x x^4-\frac {1}{6} c_1 x \left (e^x x^3 \text {Ei}(-x)+x^2-x+2\right )\right \}\right \}\]

Maple : cpu = 0.018 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{4}{{\rm e}^{x}}+{\it \_C2}\,x \left ( {{\rm e}^{x}}{x}^{3}{\it Ei} \left ( 1,x \right ) -{x}^{2}+x-2 \right ) \right \} \]