(a) Use the stability criterion to characterize the stability of the equilibria of xt+1=(8xt2)/(12+xt2), t = 0, 1, 2, ...(b) Use cobwebbing to find the limit that xt converges to as t->infinity if (i) x0 = 1 and (ii) x0 = 3.

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Description: (a) Use the stability criterion to characterize the stability of the equilibria of xt+1=(8xt2)/(12+xt2), t = 0, 1, 2, ...(b) Use cobwebbing to find the limit that xt converges to as t->infinity if (i) x0 = 1 and (ii) x0 = 3.

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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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(a) Use the stability criterion to characterize the stability of the equilibria of x_t+1=(8x_t²)/(12+x_t²), t = 0, 1, 2, ...

(b) Use cobwebbing to find the limit that x_t converges to as t->infinity if (i) x₀= 1 and (ii) x₀ = 3.

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