2.1433   ODE No. 1433

\[ y''(x)=-\frac {y(x) \sec ^2(x) \left (2 x^2+x^2 \sin ^2(x)-24 \cos ^2(x)\right )}{4 x^2}-\tan (x) y'(x)+\sqrt {\cos (x)} \] Mathematica : cpu = 0.140711 (sec), leaf count = 46


\[\left \{\left \{y(x)\to \frac {1}{5} c_2 x^3 \sqrt {\cos (x)}-\frac {1}{4} x^2 \sqrt {\cos (x)}+\frac {c_1 \sqrt {\cos (x)}}{x^2}\right \}\right \}\] Maple : cpu = 0.104 (sec), leaf count = 28


\[y \relax (x ) = \frac {\left (\sqrt {\cos }\relax (x )\right ) \left (4 x^{5} c_{1}-x^{4}+4 c_{2}\right )}{4 x^{2}}\]