2.1486   ODE No. 1486

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

\[ (2 x-1) y^{(3)}(x)-8 x y'(x)+8 y(x)=0 \] Mathematica : cpu = 0.174437 (sec), leaf count = 63

\[\left \{\left \{y(x)\to \frac {1}{4} \left (c_3 e^{2 x-2} \text {Ei}(2-4 x)-\frac {2 c_3 x \text {Ei}(1-2 x)}{e}+4 c_1 x-4 c_2 e^{2 x}-c_3 e^{-2 x}\right )\right \}\right \}\]

Maple : cpu = 0.25 (sec), leaf count = 51

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