2.12. Consider a system with input x[n] and output y[n] that satisfy the difference equation y[n] = ny[n 1] + x[n]. The system is causal and satisfies initial-rest conditions; i.e., if x[n] = 0 for n < no, then y[n] = 0 for n < no. (a) If x[n] = 8[n], determine y[n] for all n. (b) Is the system linear? Justify your answer.
2.12. Consider a system with input x[n] and output y[n] that satisfy the difference equation y[n] = ny[n 1] + x[n]. The system is causal and satisfies initial-rest conditions; i.e., if x[n] = 0 for n < no, then y[n] = 0 for n < no. (a) If x[n] = 8[n], determine y[n] for all n. (b) Is the system linear? Justify your answer.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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anyone help me with this problem 2.12
![2.12. Consider a system with input x[n] and output y[n] that satisfy the difference equation
y[n] = ny[n
1] + x[n].
The system is causal and satisfies initial-rest conditions; i.e., if x[n] = 0 for n < no, then
y[n] = 0 for n < no.
(a) If x[n] = 8[n], determine y[n] for all n.
(b) Is the system linear? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4aae1737-8bec-41a7-906c-c652d61498a6%2F926c7b5e-1716-4a18-8559-df822f93e410%2Fy9cvsi8_processed.png&w=3840&q=75)
Transcribed Image Text:2.12. Consider a system with input x[n] and output y[n] that satisfy the difference equation
y[n] = ny[n
1] + x[n].
The system is causal and satisfies initial-rest conditions; i.e., if x[n] = 0 for n < no, then
y[n] = 0 for n < no.
(a) If x[n] = 8[n], determine y[n] for all n.
(b) Is the system linear? Justify your answer.
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