ODE No. 1529

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

\[ y^{(3)}(x) (x+\sin (x))+3 (\cos (x)+1) y''(x)-3 \sin (x) y'(x)-y(x) \cos (x)+\sin (x)=0 \] Mathematica : cpu = 0.0795591 (sec), leaf count = 0 , could not solve

DSolve[Sin[x] - Cos[x]*y[x] - 3*Sin[x]*Derivative[1][y][x] + 3*(1 + Cos[x])*Derivative[2][y][x] + (x + Sin[x])*Derivative[3][y][x] == 0, y[x], x]

Maple : cpu = 0.079 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C3}+{\it \_C1}\,{x}^{2}+{\it \_C2}\,x-\cos \left ( x \right ) }{\sin \left ( x \right ) +x}} \right \} \]