\[ \left (x^2-1\right ) y'(x)+2 x y(x)-\cos (x)=0 \] ✓ Mathematica : cpu = 0.0132678 (sec), leaf count = 26
\[\left \{\left \{y(x)\to \frac {\sin (x)}{x^2-1}+\frac {c_1}{x^2-1}\right \}\right \}\] ✓ Maple : cpu = 0.009 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\frac {\sin \left ( x \right ) +{\it \_C1}}{ \left ( 1+x \right ) \left ( x-1 \right ) }} \right \} \]