2.1485   ODE No. 1485

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

\[ (x-2) x y^{(3)}(x)-(x-2) x y''(x)-2 y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.117586 (sec), leaf count = 66

\[\left \{\left \{y(x)\to -\frac {c_3 \left (4 e^x \text {Ei}(2-x)-e^2 \left (x^2 \log (2-x)-x^2 \log (x)+2 x+2\right )\right )}{4 e^2}+c_1 x^2+c_2 e^x\right \}\right \}\]

Maple : cpu = 0.411 (sec), leaf count = 47

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,{{\rm e}^{x}}+{\it \_C3}\, \left ( -{\frac {{x}^{2}\ln \left ( x \right ) }{4}}+{\frac {{x}^{2}\ln \left ( x-2 \right ) }{4}}+{\it Ei} \left ( 1,x-2 \right ) {{\rm e}^{x-2}}+{\frac {x}{2}}+{\frac {1}{2}} \right ) \right \} \]