2.1198   ODE No. 1198

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

\[ x^2 y''(x)-\left (x^2-2 x\right ) y'(x)+(-3 x-2) y(x)=0 \] Mathematica : cpu = 0.04673 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_1 e^x x-\frac {c_2 \left (e^x x^3 \text {Ei}(-x)+x^2-x+2\right )}{6 x^2}\right \}\right \}\] Maple : cpu = 0.034 (sec), leaf count = 37

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