2.1437   ODE No. 1437

\[ y''(x)=\left (3 \sin ^2(x)+1\right ) \csc (x) \sec (x) y'(x)+y(x) \tan ^2(x) \] Mathematica : cpu = 0.237698 (sec), leaf count = 42


\[\left \{\left \{y(x)\to c_2 \cos ^{\frac {1}{2} \left (\sqrt {13}-3\right )}(x)+c_1 \cos ^{\frac {1}{2} \left (-3-\sqrt {13}\right )}(x)\right \}\right \}\] Maple : cpu = 0.167 (sec), leaf count = 29


\[y \relax (x ) = c_{1} \left (\cos ^{-\frac {3}{2}+\frac {\sqrt {13}}{2}}\relax (x )\right )+c_{2} \left (\cos ^{-\frac {3}{2}-\frac {\sqrt {13}}{2}}\relax (x )\right )\]