First order difference equationConsider the simple modely(t)+ay(t-1)=bu(t-1)0Σy²(t-1)-Σy(t-1)u(t-1) Σu'(1-1)-Ey(t-Du(t-1)-Ey(t)y(t-1)Σy(t)u(t-1)-TEExercise: Suppose for t=1 to 6 the value of u and y are:u=[2 3 2 5 3 7 y=[-23 48 -93 188 -371 745]Derive Ov

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Answered: First order difference equation…

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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First order difference equation Consider the simple model |y(t)+ay(t-1)=bu(t-1) ÔN Σy²(t-1) -Σy(t-Du(t-1)] -Σy(t-1)u(t-1) Σu²(t-1) HIE -Σy(t)y(t-1)] Σy(t)u(t-1) Exercise: Suppose for t=1 to 6 the value of u and y are: u=[2 3 2 5 3 7 y=[-23 48 -93 188 -371 745 Derive N