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

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 -> ∞?

Expert Solution

Colby Messinger answered 1 year ago

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

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