Semigrupos de Operadores Lineares
\[\begin{equation*} \begin{cases} x'(t)={\color{red}A}x+{\color{black}f},& t\in [0,+\infty)\\ x(0)=x_0 \end{cases} \end{equation*}\] \[\begin{equation*} x(t)=e^{t\color{red}A}x_0+\int_0^t e^{(t-s){\color{red}A}}f(s)ds \end{equation*}\]