\[ y(x) (a+x \cot (x))+x^2 y''(x)+\left (2 x^2 \cot (x)+x\right ) y'(x)=0 \] ✓ Mathematica : cpu = 0.157905 (sec), leaf count = 37
\[\left \{\left \{y(x)\to \csc (x) \left (c_1 J_{i \sqrt {a}}(x)+c_2 Y_{i \sqrt {a}}(x)\right )\right \}\right \}\]
✓ Maple : cpu = 0.065 (sec), leaf count = 30
\[ \left \{ y \left ( x \right ) ={\frac {1}{\sin \left ( x \right ) } \left ( {\it \_C2}\,{{\sl Y}_{i\sqrt {a}}\left (x\right )}+{\it \_C1}\,{{\sl J}_{i\sqrt {a}}\left (x\right )} \right ) } \right \} \]