For the differential equation ( frac{dy}{dx} ) 3y cot x = sin 2x; y=2 when x= ( frac{ pi}{2} ), its particular solution is ______

For the differential equation ( frac{dy}{dx} ) 3y cot x = sin 2x; y

1.	For the differential equation ( frac{dy}{dx} ) 3y cot x = sin 2x; y=2 when x= ( frac{ pi}{2} ), its particular solution is ______
A.	y = 2cos<sup>2</sup> x + 4cos<sup>3</sup> x
B.	y = -2sin<sup>3</sup> x + 4sin<sup>2</sup> x
C.	y = -2sin<sup>2</sup> x + 4sin<sup>3</sup> x
D.	y = 4cos<sup>2</sup> x + 2sin<sup>3</sup> x
Answer» D. y = 4cos<sup>2</sup> x + 2sin<sup>3</sup> x