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Using Laplace transform determine the complete response of the system descrbed by the equation,

$ \frac{d^{2} y(t)}{d t^{2}}+5 \frac{d y(t)}{d t}+4 y(t)=\frac{d x(t)}{d t} $ ; y(0) = 0 ; $ d y(t) / d\left.t\right|_{t-0}=1, $ for the input $ x(t)=e^{-2 t} u(t) $.

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