ODE No. 195

\[ \sin (x) y'(x)+y(x)^2 \left (-\sin ^2(x)\right )+y(x) (\cos (x)-3 \sin (x))+4=0 \] Mathematica : cpu = 0.16743 (sec), leaf count = 27

DSolve[4 + (Cos[x] - 3*Sin[x])*y[x] - Sin[x]^2*y[x]^2 + Sin[x]*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to -4 \csc (x)+\frac {\csc (x)}{\frac {1}{5}+c_1 e^{5 x}}\right \}\right \}\] Maple : cpu = 0.108 (sec), leaf count = 28

dsolve(sin(x)*diff(y(x),x)-y(x)^2*sin(x)^2+(cos(x)-3*sin(x))*y(x)+4 = 0,y(x))
 

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