2.267   ODE No. 267

\[ y(x) \sin ^2(x) y'(x)+y(x)^2 \sin (x) \cos (x)-1=0 \] Mathematica : cpu = 0.275093 (sec), leaf count = 36


\[\left \{\left \{y(x)\to -\sqrt {2 x+c_1} \csc (x)\right \},\left \{y(x)\to \sqrt {2 x+c_1} \csc (x)\right \}\right \}\] Maple : cpu = 0.039 (sec), leaf count = 32


\[y \relax (x ) = \frac {\sqrt {2 x +c_{1}}}{\sin \relax (x )}\]