\[ y''(x)=y(x) \csc ^2(x)-\cot (x) y'(x) \] ✓ Mathematica : cpu = 0.0387498 (sec), leaf count = 51
\[\left \{\left \{y(x)\to c_1 \cosh \left (\log \left (\cos \left (\frac {x}{2}\right )\right )-\log \left (\sin \left (\frac {x}{2}\right )\right )\right )-i c_2 \sinh \left (\log \left (\cos \left (\frac {x}{2}\right )\right )-\log \left (\sin \left (\frac {x}{2}\right )\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.04 (sec), leaf count = 25
\[y \relax (x ) = \frac {\sin \relax (x ) c_{1}}{\cos \relax (x )-1}+\frac {\left (\cos \relax (x )-1\right ) c_{2}}{\sin \relax (x )}\]