2.1198   ODE No. 1198

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

\[ -\left (x^2-2 x\right ) y'(x)+x^2 y''(x)-(3 x+2) y(x)=0 \] Mathematica : cpu = 0.0389997 (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 = 0.061 (sec), leaf count = 37

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