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Determine the complete response of the system described 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 ; \quad \frac{d y(t)}{d t}=1$ at t=0 For the input, $ x(t)=e^{-2 t} u(t) $

Subject : Signals and Systems

Topic : Frequency Domain Analysis of Continuous Time System using Laplace Transform

Difficulty : Medium

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