2. Determine if the systems with the following input-output relationships are linear and/or time invariant. For linearity, check homogeneity and additivity separately. (d) y[n] = cos(2r[n]) (e) y(n) = x[n]a[n –1] (f) - y(t) = x(t) cos(10t)

2. Determine if the systems with the following input-output relationships are linear and/or time invariant. For linearity, check homogeneity and additivity separately. (d) y[n] = cos(2r[n]) (e) y(n) = x[n]a[n –1] (f) - y(t) = x(t) cos(10t)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. Determine if the systems with the following input-output relationships are linear and/or time
invariant. For linearity, check homogeneity and additivity separately.
(d) y[n] = cos(2x[rn])
(e) y(n) = ¤[n]x[n – 1]
(f) y(t) = ¤(t) cos(10t)

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