2.1199   ODE No. 1199

\[ x^2 y''(x)-(x+4) x y'(x)+4 y(x)=0 \] Mathematica : cpu = 0.0128615 (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 = 0.016 (sec), leaf count = 35


\[y \relax (x ) = \left (\Ei \left (1, x\right ) {\mathrm e}^{x} c_{2} x^{3}+c_{1} x^{3} {\mathrm e}^{x}-c_{2} \left (x^{2}-x +2\right )\right ) x\]