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- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

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

\begin{align*}\displaystyle

y''+7y'+10y&=80\\

\end{align*}

$\textrm{auxilary equation}$

\begin{align*}\displaystyle

r^2+7r+10&=0\\

(r+2)(r+5)&=0\\

r&=-2,-5

\end{align*}

then is it the general equation?

this is the last one of the undetermined coefficients problems