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#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

$\textrm{17.2.9 Solve the given equation by the method of undetermined coefficients.}\\$

\begin{align*}\displaystyle

y''-y&=2e^{-x}+3e^{2}

\end{align*}

$\textit{ textbook answer is:}\\$

\begin{align*}\displaystyle

y&=c_1e^{-x}+c_2 e^{-x}-xe^{-x}-3x^{2}-6\\

\end{align*}