- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

$\tiny{17.2.02}$

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

\begin{align*}\displaystyle

y''-4y'&=\sin{x}\\

y_p&=A\sin{x}\\

\end{align*}

$\textit{ answer}$

\begin{align*}\displaystyle

y{\left (x \right )}& = C_{1} + C_{2} e^{4 x} - \frac{1}{17} \sin{\left (x \right )} + \frac{4}{17} \cos{\left (x \right )}

\end{align*}

ok not sure how to start this

looked at example but..

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

\begin{align*}\displaystyle

y''-4y'&=\sin{x}\\

y_p&=A\sin{x}\\

\end{align*}

$\textit{ answer}$

\begin{align*}\displaystyle

y{\left (x \right )}& = C_{1} + C_{2} e^{4 x} - \frac{1}{17} \sin{\left (x \right )} + \frac{4}{17} \cos{\left (x \right )}

\end{align*}

ok not sure how to start this

looked at example but..

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