2.32   ODE No. 32

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

\[ y'(x)+y(x)^2 \sin (x)-2 \tan (x) \sec (x)=0 \] Mathematica : cpu = 0.142469 (sec), leaf count = 34

\[\left \{\left \{y(x)\to \frac {\csc (x) \left (c_1 \tan (x) \sec (x)-2 \sin (x) \cos (x)\right )}{c_1 \sec (x)+\cos ^2(x)}\right \}\right \}\]

Maple : cpu = 0.264 (sec), leaf count = 28

\[ \left \{ y \left ( x \right ) =-2\,{\frac { \left ( \cos \left ( x \right ) \right ) ^{3}{\it \_C1}+1}{ \left ( \left ( \cos \left ( x \right ) \right ) ^{3}{\it \_C1}-2 \right ) \cos \left ( x \right ) }} \right \} \]