ODE No. 1470

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

\[ y^{(3)}(x)-\sin (x) y''(x)-2 \cos (x) y'(x)+y(x) \sin (x)-\log (x)=0 \] Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.108 (sec), leaf count = 36

\[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}+\int \! \left ( 2\,{\it \_C1}\,x+{\it \_C2}-{\frac {3\,{x}^{2}}{4}}+{\frac {{x}^{2}\ln \left ( x \right ) }{2}} \right ) {{\rm e}^{\cos \left ( x \right ) }}\,{\rm d}x \right ) {{\rm e}^{-\cos \left ( x \right ) }} \right \} \]