2.2 For each of the following systems, specify whether or not the system is: (i) linear and/or (ii) time-invariant. (a) $y (t) = 3 x (t ? 1)$ (b) $y (t) = t x (t)$ (c) $\frac{d y}{d t} + y (t ? 1) = x (t)$ (d) $\frac{d y}{d t} + 2 y (t) = ?_{? ?}^{t} x (?) d ?$ (e) $y (t) = x (t) u (t)$ (f) $y (t) = ?_{t}^{?} x (?) d ?$ (g) $y (t) = ?_{t}^{2 t} x (?) d ?$ 2.5 The step response of an LTI system is Compute the response of the system to the following inputs. (d)

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2.2 For each of the following systems, specify whether or not the system is: (i) linear and/or (ii) time-invariant. (a)

y (t) = 3 x (t ? 1)

(b)

y (t) = t x (t)

(c)

\frac{d y}{d t} + y (t ? 1) = x (t)

(d)

\frac{d y}{d t} + 2 y (t) = ?_{? ?}^{t} x (?) d ?

(e)

y (t) = x (t) u (t)

(f)

y (t) = ?_{t}^{?} x (?) d ?

(g)

y (t) = ?_{t}^{2 t} x (?) d ?

2.5 The step response of an LTI system is Compute the response of the system to the following inputs. (d)

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