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z2-ze coshw.K (z) z2– 2ze coshw.K+e2a -

z2-ze coshw.K (z) z2– 2ze coshw.K+e2a -

Advanced Engineering Mathematics
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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How did he get the value inside the line x(k) = eak coshw,k -wok coshw. k ewok +e 2 eak coshw, k eak ewokteake-wok Z - trans form of a" : Z(a") = 1 1-az-1 Z(a") = ROC : |Z| > |a| Z-a X(2) = ( +) .... z-eakewo z-eake-wo because a = e“ew• in Z(ew.k) and a = e"e-Wo from equation 1, ede-wo z-e"e-wo+z-e"ewo |X(2) = 5 (z-e"e-w)(z-e"ewo) 22-e" (e+wo+e-wo) X(2) = - (z2-2ea zcoshw.te2a) (z): z²–ze coshw,K z2-2ze coshw.K+e2a
Transcribed Image Text:How did he get the value inside the line x(k) = eak coshw,k -wok coshw. k ewok +e 2 eak coshw, k eak ewokteake-wok Z - trans form of a" : Z(a") = 1 1-az-1 Z(a") = ROC : |Z| > |a| Z-a X(2) = ( +) .... z-eakewo z-eake-wo because a = e“ew• in Z(ew.k) and a = e"e-Wo from equation 1, ede-wo z-e"e-wo+z-e"ewo |X(2) = 5 (z-e"e-w)(z-e"ewo) 22-e" (e+wo+e-wo) X(2) = - (z2-2ea zcoshw.te2a) (z): z²–ze coshw,K z2-2ze coshw.K+e2a
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