2.195   ODE No. 195

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

\[ \sin (x) y'(x)+y(x)^2 \left (-\sin ^2(x)\right )+y(x) (\cos (x)-3 \sin (x))+4=0 \] Mathematica : cpu = 0.183558 (sec), leaf count = 27

\[\left \{\left \{y(x)\to -4 \csc (x)+\frac {\csc (x)}{\frac {1}{5}+c_1 e^{5 x}}\right \}\right \}\] Maple : cpu = 0.118 (sec), leaf count = 28

\[\left \{y \left (x \right ) = \frac {-4 c_{1} {\mathrm e}^{5 x}-4}{\left (c_{1} {\mathrm e}^{5 x}-4\right ) \sin \left (x \right )}\right \}\]