2.1529   ODE No. 1529

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

\[ -3 \sin (x) y'(x)+3 (\cos (x)+1) y''(x)+y^{(3)}(x) (x+\sin (x))-y(x) \cos (x)+\sin (x)=0 \] Mathematica : cpu = 0.0783905 (sec), leaf count = 47

\[\left \{\left \{y(x)\to \frac {c_3 x^2}{x+\sin (x)}-\frac {\cos (x)}{x+\sin (x)}+\frac {c_2 x}{x+\sin (x)}+\frac {c_1}{x+\sin (x)}\right \}\right \}\] Maple : cpu = 0.167 (sec), leaf count = 25

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