Step 1:
First, we rewrite the given differential equation as follows:
$$
\frac{d y}{d x}+ \frac{y}{\cos x} = \sec x
$$
This is a first order linear differential equation in the form $\frac{d y}{d x}+ P(x)y = Q(x)$, where $P(x) = \frac{1}{\cos x}$ and $Q(x) = \sec
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