Consider the following differential equation [ frac{d^{2} y(t)}{d t^{2}}+8 frac{d y(t)}{d t}+15 y(t)=frac{d x(t)}{d t}+4 x(t) ]

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Consider the following differential equation

\[
\frac{d^{2} y(t)}{d t^{2}}+8 \frac{d y(t)}{d t}+15 y(t)=\frac{d x(t)}{d t}+4 x(t)
\]

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