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Single Variable Calculus

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Moderate

Linear Differential Equation with Trig Functions

SVCALC-VHKJHB

Find general solution of the differential equation:

$$ \cos(x) y'+\sin(x) y=2 \cos^3(x) \sin(x)$$

A

$$- \frac{1}{2}\sin(x) \cos(2x)$$

B

$$- \frac{1}{2}\cos(x) \cos(2x)$$

C

$$- \frac{1}{2}\sin(x) \cos(2x)+C\sin(x)$$

D

$$- \frac{1}{2}\cos(x) \cos(2x)+C\cos(x)$$