I need the answer as soon as possible How did he get thevalue inside the lineX [n] = $X [n] = $ "dz2ri P Tz-1)(z-2)-dz2niz'dz(z-1)(z-2)Residue at z =1Res (z – 1) ×|(e1(z–1)(z–2)z=1Res due at z= 2Res (z – 2) ×- 2) x= 2|(z-1)(z-2)Hence,x (k) = z-(z–2)-1)x (k) = 2*u (k) – u (k)|x (k) = (2* – 1)u (k)

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Answered: How did he get the value inside the…

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 2ni (z-1)(z-2) X [n] = $ 1 %3D 1 2ni (z–1)(z–2) "dz Residue at z = 1 Res (2 – 1) × - Z. = -1 (z-1)(z-2) Res due at z = 2 Res[(z – 2) × = 2 Z. | (z-1)(z-2) z=2