If a function y=f(x) satisfies the differential equation f(x) · sin2x – cosx + (1+ sin2x > with initial condition y(0) =0, then the value of equal to

A function y=f (x) satisfies the differential equation f(x) sin 2x-cos x+(1 + sin^2x)f'(x)= 0 with initial condition y(0)=0 . The value of f(pi/6) is equal to (A) 1/5 (B) 3/5 (C) 4/5 (D) 2/5

A function y=f (x) satisfies the differential equation f(x) sin 2x-cos x+(1 + sin^2x)f'(x)= 0 with initial condition y(0)=0 . The value of f(pi/6) is equal to (A) 1/5 (B) 3/5 (C) 4/5 (D) 2/5

A function y=f(x) satisfies the differential equation f(x)sin2x-cos x+(1+sin^(2)x)f'(x)=0 with initial condition y(0)=0. The value of f((pi)/(6)) is equal to (A) (1)/(5)(B)(3)/(5)(C)(4)/(5)(D)(2)/(5)

A function y-f (x) satisfies the differential equation f (x) sin 2x - cos x+(1+ sin ^(2)x) f'(x) =0 with f (0) =0. The value of f ((pi)/(6)) equals to :

A function y=f(x) satisfies the differential equation (dy)/(dx)-y= cosx-sin x with initial condition that y is bounded when x to oo . The area enclosed by y=f(x), y=cos x and the y-axis is

If y(x) satisfies the differential equation y'+y=2(sin x+cos x) and y(0)=1 ,then

A function y=f(x) satisfies the differential equation (dy)/(dx)-y= cosx-sin x with initial condition that y is bounded when x _> oo . The area enclosed by y=f(x), y=cos x and the y-axis is