General solution of \(y \frac{d y}{d x}+b y^{2}=a \cos x, 0<x<1\) is
(A) \(y^{2}=2 a(2 b \sin x+\cos x)+c e^{-2 b x}\)
(B) \(\left(4 b^{2}+1\right) y^{2}=2 a(\sin x+2 b \cos x)+c e^{-2 b x}\)
(C) \(\left(4 b^{2}+1\right) y^{2}=2 a(\sin x+2 b \cos x)+c e^{2 b x}\)
(D) \(y^{2}=2 a(2 b \sin x+\cos x)+c e^{-2 b x}\)
Here \(c\) is an arbitrary constant