\[ y(x) \sin ^2(x) y'(x)+y(x)^2 \sin (x) \cos (x)-1=0 \] ✓ Mathematica : cpu = 0.0387437 (sec), leaf count = 36
\[\left \{\left \{y(x)\to -\sqrt {c_1+2 x} \csc (x)\right \},\left \{y(x)\to \sqrt {c_1+2 x} \csc (x)\right \}\right \}\] ✓ Maple : cpu = 0.03 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) ={\frac {1}{\sin \left ( x \right ) }\sqrt {2\,x+{\it \_C1}}},y \left ( x \right ) =-{\frac {1}{\sin \left ( x \right ) }\sqrt {2\,x+{\it \_C1}}} \right \} \]