Question

Let y = y(x) be the solution of the differential equation cosx dy/dx + 2y sin x = sin 2x, x ∈ (0, π/2). If y(π/3) = 0, then y( π/4) is equal to : 

(1) √2 - 2 

(2) 1/√2 – 1 

(3) 2 – √2 

(4) 2 + √2

Answer 1

The correct option is (1) √2 - 2.