If cos `x (dy)/(dx)-y sin x = 6x, (0 lt x lt (pi)/(2))` and `y((pi)/(3))=0`, then `y((pi)/(6))` is equal to :-

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

If cosxdy/dx-y sin x=6x, (0ltxltx/2)and y(pi/3)=0 , then y(pi/6) is equal to (a) pi^(2) /(2sqrt 3) (b) -pi^(2) /(2sqrt 3) (c) -pi^(2) /(4sqrt 3) (d) (c) -pi^(2) /2

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to :

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to

Let y=g(x) be the solution of the differential equation sin x(dy)/(dx)+y cos x=4x, x in (0,pi) If y(pi/2)=0 , then y(pi/6) is equal to

Let y=g(x) be the solution of the differential equation sinx ((dy)/(dx))+y cos x=4x, x in (0,pi) If y(pi/2)=0 , then y(pi/6) is equal to

If (dy)/(dx)+y tan x=sin2x and y(0)=1 , then y(pi) is equal to :