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For each of the following linear difference equations, please find an expression for yn, the equilibrium solution, and indicate whether that equilibrium solution is asymptotically stable. If there is no equilibrium solution, type "NONE" and call it not asymptotically stable. (A) Yn+1 = - If yo = 9, then yn = The equilibrium solution is (B) Yn+1 -2/Yn 5 Yn If yo = 7, then yn = The equilibrium solution is (C) Yn+1 = If yo (D) Yn+1 1 2 Yn+2 = 7, then yn = The equilibrium solution is 9 4 Yn + 8 If yo 1, then yn = The equilibrium solution is and this is ? and this is ? and this is ? and this is ?

For each of the following linear difference equations, please find an expression for yn, the equilibrium solution, and indicate whether that equilibrium solution is asymptotically stable. If there is no equilibrium solution, type "NONE" and call it not asymptotically stable. (A) Yn+1 = - If yo = 9, then yn = The equilibrium solution is (B) Yn+1 -2/Yn 5 Yn If yo = 7, then yn = The equilibrium solution is (C) Yn+1 = If yo (D) Yn+1 1 2 Yn+2 = 7, then yn = The equilibrium solution is 9 4 Yn + 8 If yo 1, then yn = The equilibrium solution is and this is ? and this is ? and this is ? and this is ?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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For each of the following linear difference equations, please find an expression for yn, the equilibrium solution, and indicate whether that equilibrium solution is asymptotically stable. If there is no equilibrium solution, type "NONE" and call it not asymptotically stable. (A) Yn+1 = If yo = 9, then Yn The equilibrium solution is (B) Yn+1=Yn If yo = 7, then Yn (C) Yn+1 2 // Yn The equilibrium solution is (D) Yn+1 If yo = 7, then yn = If yo 1 // Yn + 2 = = The equilibrium solution is = Yn +8 = 1, then yn = The equilibrium solution is and this is ? and this is ? and this is ? and this is ? <
Transcribed Image Text:For each of the following linear difference equations, please find an expression for yn, the equilibrium solution, and indicate whether that equilibrium solution is asymptotically stable. If there is no equilibrium solution, type "NONE" and call it not asymptotically stable. (A) Yn+1 = If yo = 9, then Yn The equilibrium solution is (B) Yn+1=Yn If yo = 7, then Yn (C) Yn+1 2 // Yn The equilibrium solution is (D) Yn+1 If yo = 7, then yn = If yo 1 // Yn + 2 = = The equilibrium solution is = Yn +8 = 1, then yn = The equilibrium solution is and this is ? and this is ? and this is ? and this is ? <
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