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 = 0.253804 (sec), leaf count = 46

\[\left \{\left \{y(x)\to \frac {1}{5} c_2 x^3 \sqrt {\cos (x)}+\frac {c_1 \sqrt {\cos (x)}}{x^2}-\frac {1}{4} x^2 \sqrt {\cos (x)}\right \}\right \}\] Maple : cpu = 0.111 (sec), leaf count = 28

\[ \left \{ y \left ( x \right ) ={\frac {4\,{x}^{5}{\it \_C1}-{x}^{4}+4\,{\it \_C2}}{4\,{x}^{2}}\sqrt {\cos \left ( x \right ) }} \right \} \]