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  3. consider the equation: ?̇ +2? = ?(?) with init

Consider the equation: ?̇ +2? = ?(?) with initial condition x(0) = 2 (a) If u(t) =...

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Advance Math

Consider the equation: ?̇ +2? = ?(?) with initial condition x(0)= 2

(a) If u(t) = 0, find the solution ?(?). What is ?(?) as t ->∞?

(b) If u(t) = 4+t, find the solution ?(?). What is ?(?) as t-> ∞?

(c) If u(t) = ?3?, find the solution ?(?). What is?(?) as t -> ∞?

(d) If u(t) = δ(t), find the solution ?(?). What is ?(?) as t-> ∞?

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