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AP® Calculus AB-BC

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Moderate

Differential Equation with Trig Functions

APCALC-V8$RI6

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

A

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

B

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

C

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

D

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