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5) Consider the linear system described by the following differential equation: $x¨+2ax˙+(a_{2}+4)x=F(t)$ (Here $a>0$ is a constant parameter) (a) Find the transfer function $x(s)/F(s)$ (b) IF $F(t)=δ(t)$, FIND $x(t)$ (assuming zero initial conditions) VNIT IMPULSE FUNCTION

(a) To find the transfer function, we first take the Laplace transform of both sides of the differential equation:

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