Find the general solution of the differential equations `(dy)/(dx)+y=1(y!=1)`

Explanation

To solve the differential equation \(\frac{dy}{dx} + y = 1\), we will follow the steps for solving a first-order linear differential equation.

### Step 1: Identify the standard form
The given equation is already in the standard form:
\[ \frac{dy}{dx} + P(x)y = Q(x) \]
where \(P(x) = 1\) and \(Q(x) = 1\).
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