2.1091   ODE No. 1091

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

\[ x \left (y''(x)+y(x)\right )-\cos (x)=0 \] Mathematica : cpu = 0.0202742 (sec), leaf count = 41

\[\left \{\left \{y(x)\to \frac {1}{2} (\text {Ci}(2 x) \sin (x)-\text {Si}(2 x) \cos (x)+\log (x) \sin (x))+c_1 \cos (x)+c_2 \sin (x)\right \}\right \}\] Maple : cpu = 0.066 (sec), leaf count = 35

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