Section 3.4

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Section D.3 Section 3.4

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Exercises Exercises

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1.

Find the general solution of the following second order linear ODEs with constant coefficients.

$y^{\prime\prime}+16y=0}$
$y^{\prime\prime}-4y^{\prime}+9y=0$
$y^{\prime\prime}-4y^{\prime}+29y=0$

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2.

Find the particular solution to the following IVP:

$\begin{equation*} y^{\prime\prime}-8y^{\prime}+17y=0},\,\,\,\,\,\,y(0)=-4,y^{\prime}(0)=-1. \end{equation*}$