2.1196   ODE No. 1196

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

\[ x^2 y''(x)-(x-1) x y'(x)+(x-1) y(x)=0 \] Mathematica : cpu = 0.0280158 (sec), leaf count = 37

\[\left \{\left \{y(x)\to \frac {c_2 \left (x^2 \text {Ei}(x)-e^x x-e^x\right )}{2 x}+c_1 x\right \}\right \}\] Maple : cpu = 0.056 (sec), leaf count = 31

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