In Problems y = c₁ cos 2x + c₂ sin 2x is a two paramet4er family of solutions of the second order DE y'' + 4y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions The condition specified at two different points are called boundary conditions.

1. y(0) = 0, y(π/4) = 3

2. y(0) = 0, y' (π) = 0

3. y'(0) = 0, y' (π/6) = 0

4. y(0) = 1, y'(π) = 5

5. y(0) = 0, y(π) = 2

6. y'(π/2) = 0, y'(π) = 0