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The general solution for the differential equation $\cfrac { dy }{ dx } =\sin ^{ 2 }{ y }\cos { \left( 2x \right) } $ is

$y=\cot ^{ -1 }{ \left( \sin { \left( 2x \right) } +C \right) } $

$y=\cot { \left( \sin { \left( 2x \right) } \right) } +C$

$y=-\cfrac { \sin { \left( 2x \right) } }{ 2 } +C$

$y=\cot ^{ -1 }{ \left( -\cfrac { \sin { \left( 2x \right) } }{ 2 } +C \right) } $