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 = 0.0146932 (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 = 0.047 (sec), leaf count = 35

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