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

Explanation

Given

`frac{d y}{d x}+y=1`

We can rewrite it as following

`frac{d y}{d x}=1-y`

By cross multiplication

`frac{1}{1-y} d y=d x`

By integrating both sides w.r.t `x`

`-\int \frac{-1}{1-y} d y=\int d x`

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