1. Find the output y[n] of the DE y[n] = 2x[n] + 3x[n-1] - x[n - 2] in the simplest form for each of the following cases, assuming zero initial conditions: i. x[n] = 2, n ≥ 0 ii. x[n] = 5n, n≥ 0 iii. x[n] = =4 (9)". n≥0 iv. x[n] = 10 cos(nл/2), n≥ 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Find the output y[n] of the DE y[n] = 2x[n] + 3x[n-1] - x[n - 2] in the simplest form
for each of the following cases, assuming zero initial conditions:
i.
x[n] = 2,
n ≥ 0
ii.
x[n] = 5n,
n≥ 0
iii.
x[n] =
=4 (9)".
n≥0
iv.
x[n] = 10 cos(nл/2),
n≥ 0
Transcribed Image Text:1. Find the output y[n] of the DE y[n] = 2x[n] + 3x[n-1] - x[n - 2] in the simplest form for each of the following cases, assuming zero initial conditions: i. x[n] = 2, n ≥ 0 ii. x[n] = 5n, n≥ 0 iii. x[n] = =4 (9)". n≥0 iv. x[n] = 10 cos(nл/2), n≥ 0
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