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AP® Calculus AB-BC

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Moderate

Differential Equation: Particular Solution with Trig

APCALC-HX9KWA

Which of the following is the particular solution to the differential equation: $\cos^2(x)y'=\csc(y)$ given the initial condition $y(0)=\frac{\pi}{2}$ ?

A

$\tan{x}-\cos(y)=0$

B

$\tan{x}+\cos(y)=-1$

C

$\tan{x}-\cos(y)=-1$

D

$\tan{x}+\cos(y)=0$