2.1417   ODE No. 1417

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

\[ y''(x)=-\csc (x) y'(x) \left (\sin ^2(x)-\cos (x)\right )-y(x) \sin ^2(x) \] Mathematica : cpu = 0.148977 (sec), leaf count = 45

\[\left \{\left \{y(x)\to e^{\frac {\cos (x)}{2}} \left (c_1 \cos \left (\frac {1}{2} \sqrt {3} \cos (x)\right )+c_2 \sin \left (\frac {1}{2} \sqrt {3} \cos (x)\right )\right )\right \}\right \}\]

Maple : cpu = 0.148 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {\cos \left ( x \right ) }{2}}}} \left ( \sin \left ( {\frac {\sqrt {3}\cos \left ( x \right ) }{2}} \right ) {\it \_C1}+\cos \left ( {\frac {\sqrt {3}\cos \left ( x \right ) }{2}} \right ) {\it \_C2} \right ) \right \} \]