2.1529   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 = 0.0941548 (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 = 0.106 (sec), leaf count = 25

\[\left \{y \left (x \right ) = \frac {c_{1} x^{2}+c_{2} x +c_{3}-\cos \left (x \right )}{x +\sin \left (x \right )}\right \}\]