#1 For each of the DDS given below, do the following:Determine if the DDS is linear or not; if it is linear, write the explicit solution.Computex, (using either explicit solution or recursive equation).Find the equilibrium value(s) for the DDS (linear or not).If the DDS is a linear, use the stability criterion to determine whether each equilibrium isstable or not.a) Xn+1=X²-2, x₁ = 1

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Answered: #1 For each of the DDS given below, do…

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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In the market for a good, the equilibrium point occurs when 6095 units are producedat a price of $12.50. The producer of the good will supply no units at $1 and theconsumers will demand no units if the price is $25. Find the supply equation Qs(p)and demand equation Qd(p) if they are both linear.
A collector of antique clocks sold at auction believes that the price received for the clocks may be modeled as a linear function of the age of the clocks and the number of bidders at the auction. After a preliminary study and collection of 32 observations, the collector came up with the following second-order model: y = BO+B₁x₁+B₂x₂ + ß3 x1x2 +B4x² +ɛ, where y: price of a clock; x₁: age of a clock; x2: the number of bidders. Considering the output below and by setting a = 0.05, answer the following questions. The regression equation is Price = 262 +2.26 Age + 14.2 Bidder + 1.13 AgeBid 4.20 Bid^2 Predictor Constant -261.7 2.260 14.21 Age Bidder AgeBid Bid^2 S = 84.512 Coef SE Coef 1.1301 -4.196 Analysis of Variance Source 404.4 2.052 R-Sq= 96.0% Variable Age Bidder AgeBid Bid^2 60.83 0.23 5.17 0.000 0.219 1.344 -3.12 0.004 R-Sq (adj) DF Regression 4 4606950 Residual Error 27 192840 Total 31 4799790 SS T P -0.65 0.523 1.10 0.280 0.817 a. Is the model useful as a whole? Apply an…
Given the estimated linear model shown below, complete the following computations. y = 11 + 6x, + 2x2 + 3x3 Compute y when x, = 31, x2 = 9, and x3 = 23.
On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: Women: -231x+2y=60,623 - 830x + 3y = 49,894 The median income of men and women will be the same in the year
If a piece of property is depreciated linearly over a period of n years, then its value y dollars at the end of x years is given by: y=c[1-x/n] where c dollars is the original value of the property. An apartment building built in 1975 and originally worth $400,000 is being depreciated linearly over a period of forty years. Sketch a graph showing the value y dollars of the apartment building x years after it was built and determine its value in the year 2000. What is the slope of this line and what does it represent? .

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