2.1486   ODE No. 1486

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

\[ -8 x y'(x)+(2 x-1) y^{(3)}(x)+8 y(x)=0 \] Mathematica : cpu = 0.291522 (sec), leaf count = 65

\[\left \{\left \{y(x)\to \frac {1}{4} c_3 x \left (\frac {e^{2 x-2} \text {Ei}(2-4 x)}{x}-\frac {2 \text {Ei}(1-2 x)}{e}-\frac {e^{-2 x}}{x}\right )+c_1 x-c_2 e^{2 x}\right \}\right \}\] Maple : cpu = 0.199 (sec), leaf count = 51

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