Question

Let the solution curve x = x (y), 0<y< π/2 of the differential equation (loge (cos y))² cos y dx - (1 + 3x loge(cos y))sin y dy = 0 satisfy x(π/3)=1/2loge2. If x(π/6)= 1/logem-logen ,where m and n are coprime, then mn is equal to

Answer 1

The answer is : 12