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 = 2cos2 x + 4cos3 x
• B. y = -2sin3 x + 4sin2 x
• C. y = -2sin2 x + 4sin3 x
• D. y = 4cos2 x + 2sin3 x