Fuente TeX:

\frac{-1}{x(t)-2} = \frac{-1}{t+1} + \mathbb{C} \Leftrightarrow  \frac{-1}{x(t)-2} = \frac{-1 + \mathbb{C}(t+1)}{t+1} \Leftrightarrow -x(t)+2 = \frac{t+1}{-1 + \mathbb{C}(t+1)} \Leftrightarrow x(t) = \frac{t+1}{1 - \mathbb{C}(t+1)} +2