- Thread starter
- #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*}

$\textit{this is in the form}$

\begin{align*}\displaystyle

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

(x+2)(x+5)&=0

\end{align*}

$\textit{this is a second-order linear ordinary differential equation so}$

\begin{align*}\displaystyle

y& = c_1 e^{-5 x} + c_2 e^{-2 x}+8

\end{align*}

ok I know stuff is missing here???