\[ 4 y''(x)+4 \tan (x) y'(x)+y(x) \left (-\left (5 \tan ^2(x)+2\right )\right )=0 \] ✓ Mathematica : cpu = 0.104075 (sec), leaf count = 180
\[\left \{\left \{y(x)\to -\frac {(-1)^{7/8} 2^{5/8} c_1}{\sqrt [8]{-8 \cos ^2(2 x)-16 \cos (2 x)-8}}+\frac {3 (-1)^{5/8} c_2 \left (4 \sqrt [4]{-1} 2^{3/4} \sinh ^{-1}\left (\frac {1}{2} \sqrt [4]{-\frac {1}{2}} \sqrt [4]{-8 \cos ^2(2 x)-16 \cos (2 x)-8}\right )-i \sqrt [4]{-8 \cos ^2(2 x)-16 \cos (2 x)-8} \sqrt {8+i \sqrt {2} \sqrt {-8 \cos ^2(2 x)-16 \cos (2 x)-8}}\right )}{8 \sqrt [8]{2} \sqrt [8]{-8 \cos ^2(2 x)-16 \cos (2 x)-8}}\right \}\right \}\]
✓ Maple : cpu = 0.136 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\it \_C1}{\frac {1}{\sqrt {\cos \left ( x \right ) }}}}+{{\it \_C2}\, \left ( i\cos \left ( x \right ) \sin \left ( x \right ) -\ln \left ( i\cos \left ( x \right ) +\sin \left ( x \right ) \right ) \right ) {\frac {1}{\sqrt {\cos \left ( x \right ) }}}} \right \} \]