2.1485   ODE No. 1485

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

\[ -2 y'(x)-(x-2) x y''(x)+(x-2) x y^{(3)}(x)+2 y(x)=0 \] Mathematica : cpu = 0.160314 (sec), leaf count = 64

\[\left \{\left \{y(x)\to \frac {1}{4} c_3 x^2 \left (-\frac {4 e^{x-2} \text {Ei}(2-x)}{x^2}+\frac {2}{x^2}+\frac {2}{x}+\log (2-x)-\log (x)\right )+c_1 x^2+c_2 e^x\right \}\right \}\] Maple : cpu = 0.281 (sec), leaf count = 51

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