2.1433   ODE No. 1433

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y''(x)=-\frac {y(x) \sec ^2(x) \left (2 x^2+x^2 \sin ^2(x)-24 \cos ^2(x)\right )}{4 x^2}-\tan (x) y'(x)+\sqrt {\cos (x)} \] Mathematica : cpu = 0.16091 (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 = 0.109 (sec), leaf count = 28

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