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D'après le cours, on a:

\begin{enumerate}
\item $y' = y + 1 \iff y(x) = C\e^{x} - \dfrac{1}{1} = \boxed{C\e^{x}-1\quad,\quad C\in\R}$.

\item $2y' = 4y + 1 \iff y' = 2y + \dfrac{1}{2} \iff y(x)=C\e^{2x} - \dfrac{\frac{1}{2}}{2} = \boxed{ C\e^{2x}-\dfrac{1}{4}\quad,\quad C\in\R}$.

\item $y' = -y + 2 \iff y(x) = C\e^{-x} - \dfrac{2}{-1} = \boxed{ C\e^{-x}+2\quad,\quad C\in\R}$.
\end{enumerate}

