Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable. An+1=4An−8What is the equilibrium value? (see image for acurate equation) Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable.An +1 = 4A, -8What is the equilibrium value?a =(Type an integer or a simplified fraction.)

Answered: Image /qna-images/answer/e94a00db-b3de-4119-bc98-c97a0f6b9872.jpg

Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable. An +1 = 4A, -8 What is the equilibrium value? a = (Type an integer or a simplified fraction.)

Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable. An +1 = 4A, -8 What is the equilibrium value? a = (Type an integer or a simplified fraction.)

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable.

An+1=4An−8

What is the equilibrium value? (see image for acurate equation)

Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable.
An +1 = 4A, -8
What is the equilibrium value?
a =
(Type an integer or a simplified fraction.)

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C 380 370 360+ 350+ 340+ 1980 1985 1990 1995 2000 2005 2010/ Video Example EXAMPLE 3 The linear equation C = 1.65429t2938.07 models the average CO2, carbon dioxide, level (measured in parts per million) in the atmosphere at an observatory from 1980 to 2008. Use the linear model to estimate the average CO₂ level for 1995 and to predict the level for the year 2019. According to this model, when will the CO₂ level exceed 430 parts per million? SOLUTION Using C was Using C = 1.65429t2938.07 with t = 1995, we estimate that the average CO₂ level in 1995 = 1.65429t C(1995) = 1.65429 (rounded to two decimal places). This is an example of interpolation because we have estimated a value between observed values. With t = 2019, we get C(2019) = 1.65429[ - 2938.07 (rounded to two decimal places). So we predict the average CO₂ level in the year 2019 will be ppm (rounded to two decimal places). This is an example of extrapolation because we have predicted a value outside the region of observations.…
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