The graph of the function \( y=f(x) \) passing through the point \( (0,1) \) and satisfying the ....

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The graph of the function \( y=f(x) \) passing through
\( \mathrm{P} \)
the point \( (0,1) \) and satisfying the differential equation \( \frac{d y}{d x}+y \cos x=\cos x \), is such that
(1) it is a constant function
(2) it is periodic
(3) it is neither an even nor an odd function
(4) it is continuous and differentiable for all \( x \)


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