Which one of the following is the general solution of the first order differential equation $$\frac{dy}{dx}=(x+y-1)^{2},$$ where $x,y$ are real?
- $y=1+x+\tan^{-1}(x+c)$, where $c$ is a constant
- $y=1+x+\tan(x+c)$, where $c$ is a constant
- $y=1-x+\tan^{-1}(x+c)$, where $c$ is a constant
- $y=1-x+\tan(x+c)$, where $c$ is a constant