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#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

$$\displaystyle y^\prime + 3y = x + e^{-2x}$$

$\textit{Solve the given differential equation}$

\begin{align*}\displaystyle

&\textit{book answer is}\\

y&=\color{red}{\displaystyle ce^{-3x}+\frac{x}{3}-\frac{1}{9}+e^{-2x}}

\end{align*}

no sure how $ce^{-3x}$ was derived?

$\tiny{2.1.1}$