\[ \cos (x) y'(x)+y(x)+(\sin (x)+1) \cos (x)=0 \] ✓ Mathematica : cpu = 0.23401 (sec), leaf count = 53
\[\left \{\left \{y(x)\to e^{-2 \tanh ^{-1}\left (\tan \left (\frac {x}{2}\right )\right )} \left (\sin (x)+4 \log \left (\cos \left (\frac {x}{2}\right )-\sin \left (\frac {x}{2}\right )\right )\right )+c_1 e^{-2 \tanh ^{-1}\left (\tan \left (\frac {x}{2}\right )\right )}\right \}\right \}\] ✓ Maple : cpu = 0.157 (sec), leaf count = 29
\[\left \{y \left (x \right ) = \frac {c_{1}-2 \ln \left (\sec \left (x \right )+\tan \left (x \right )\right )+2 \ln \left (\cos \left (x \right )\right )+\sin \left (x \right )}{\sec \left (x \right )+\tan \left (x \right )}\right \}\]