Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
5th Edition
ISBN: 9780321816252
Author: C. Henry Edwards, David E. Penney, David Calvis
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.2, Problem 19P
Program Plan Intro
Program Description:Purpose ofproblem is to calculate the dependence of the number of critical points on the parameter
Summary introduction:
Problem will use the separation of the variable for differential equation
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 1 (14 points)Show that the autocovariance function can be written asγ(s, t) = E[(xs − μs)(xt − μt)] = E(xsxt) − μsμtwhere E(xt) = μt and E(xs) = μs
S
11
Parameter
Susceptible Population
IlIl Population
Zombie Population
Removed Population
Birth rate
Naturally ill rate
Intentionally ill rate
Removed from illness rate
Susceptible to zombie rate
Removed Zombie rate
I
Symbol (Model)
S
I
Z
R
a
b
Z
C
d
R
Value
1000
1
1
0
1
0.16
0.34
0.27
0.6
0.08
2.
1. Show the equilibrium and
local stability of the system.
Show the graph of the
dynamics of the population
when there is a lower
susceptibility to zombie rate
and with a higher ill rate.
(Using Python)
3. Show the graph of the
dynamics of the population
when there is a higher
susceptibility to zombie rate
and with a lower ill rate.
(Using Python)
Consider a maximization problem that is being solved by Simulated Annealing. Let
the objective function value of the current state, s, be 1000. Let this state have 5
successors/neighbors: s1(950), s2(975), s3(1000), s4(1000), and s5(1050). The
numbers in parentheses represent the corresponding objective function values.
The current temperature is 100. The probability that the next state is:
1. s1 = [Select]
2. s2 = [Select]
3. s3 [Select]
=
4. s4= [Select]
[Select]
5. s5
0.778
0.121
0.156
0.2
0.606
Chapter 2 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.1 - Prob. 8PCh. 2.1 - Prob. 9PCh. 2.1 - Prob. 10P
Ch. 2.1 - Prob. 11PCh. 2.1 - Prob. 12PCh. 2.1 - Prob. 13PCh. 2.1 - Prob. 14PCh. 2.1 - Prob. 15PCh. 2.1 - Prob. 16PCh. 2.1 - Prob. 17PCh. 2.1 - Prob. 18PCh. 2.1 - Prob. 19PCh. 2.1 - Prob. 20PCh. 2.1 - Prob. 21PCh. 2.1 - Suppose that at time t=0, half of a logistic...Ch. 2.1 - Prob. 23PCh. 2.1 - Prob. 24PCh. 2.1 - Prob. 25PCh. 2.1 - Prob. 26PCh. 2.1 - Prob. 27PCh. 2.1 - Prob. 28PCh. 2.1 - Prob. 29PCh. 2.1 - A tumor may be regarded as a population of...Ch. 2.1 - Prob. 31PCh. 2.1 - Prob. 32PCh. 2.1 - Prob. 33PCh. 2.1 - Prob. 34PCh. 2.1 - Prob. 35PCh. 2.1 - Prob. 36PCh. 2.1 - Prob. 37PCh. 2.1 - Fit the logistic equation to the actual U.S....Ch. 2.1 - Prob. 39PCh. 2.2 - Prob. 1PCh. 2.2 - Prob. 2PCh. 2.2 - Prob. 3PCh. 2.2 - Prob. 4PCh. 2.2 - Prob. 5PCh. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.2 - Prob. 8PCh. 2.2 - Prob. 9PCh. 2.2 - Prob. 10PCh. 2.2 - Prob. 11PCh. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - Prob. 15PCh. 2.2 - Prob. 16PCh. 2.2 - Prob. 17PCh. 2.2 - Prob. 18PCh. 2.2 - Prob. 19PCh. 2.2 - Prob. 20PCh. 2.2 - Prob. 21PCh. 2.2 - Prob. 22PCh. 2.2 - Prob. 23PCh. 2.2 - Prob. 24PCh. 2.2 - Use the alternatives forms...Ch. 2.2 - Prob. 26PCh. 2.2 - Prob. 27PCh. 2.2 - Prob. 28PCh. 2.2 - Consider the two differentiable equation...Ch. 2.3 - The acceleration of a Maserati is proportional to...Ch. 2.3 - Prob. 2PCh. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - A motorboat weighs 32,000 lb and its motor...Ch. 2.3 - A woman bails out of an airplane at an altitude of...Ch. 2.3 - According to a newspaper account, a paratrooper...Ch. 2.3 - Prob. 12PCh. 2.3 - Prob. 13PCh. 2.3 - Prob. 14PCh. 2.3 - Prob. 15PCh. 2.3 - Prob. 16PCh. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 19PCh. 2.3 - Prob. 20PCh. 2.3 - Prob. 21PCh. 2.3 - Suppose that =0.075 (in fps units, with g=32ft/s2...Ch. 2.3 - Prob. 23PCh. 2.3 - The mass of the sun is 329,320 times that of the...Ch. 2.3 - Prob. 25PCh. 2.3 - Suppose that you are stranded—your rocket engine...Ch. 2.3 - Prob. 27PCh. 2.3 - (a) Suppose that a body is dropped (0=0) from a...Ch. 2.3 - Prob. 29PCh. 2.3 - Prob. 30PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Prob. 14PCh. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Prob. 20PCh. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Prob. 27PCh. 2.4 - Prob. 28PCh. 2.4 - Prob. 29PCh. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Prob. 14PCh. 2.5 - Prob. 15PCh. 2.5 - Prob. 16PCh. 2.5 - Prob. 17PCh. 2.5 - Prob. 18PCh. 2.5 - Prob. 19PCh. 2.5 - Prob. 20PCh. 2.5 - Prob. 21PCh. 2.5 - Prob. 22PCh. 2.5 - Prob. 23PCh. 2.5 - Prob. 24PCh. 2.5 - Prob. 25PCh. 2.5 - Prob. 26PCh. 2.5 - Prob. 27PCh. 2.5 - Prob. 28PCh. 2.5 - Prob. 29PCh. 2.5 - Prob. 30PCh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2.6 - Prob. 5PCh. 2.6 - Prob. 6PCh. 2.6 - Prob. 7PCh. 2.6 - Prob. 8PCh. 2.6 - Prob. 9PCh. 2.6 - Prob. 10PCh. 2.6 - Prob. 11PCh. 2.6 - Prob. 12PCh. 2.6 - Prob. 13PCh. 2.6 - Prob. 14PCh. 2.6 - Prob. 15PCh. 2.6 - Prob. 16PCh. 2.6 - Prob. 17PCh. 2.6 - Prob. 18PCh. 2.6 - Prob. 19PCh. 2.6 - Prob. 20PCh. 2.6 - Prob. 21PCh. 2.6 - Prob. 22PCh. 2.6 - Prob. 23PCh. 2.6 - Prob. 24PCh. 2.6 - Prob. 25PCh. 2.6 - Prob. 26PCh. 2.6 - Prob. 27PCh. 2.6 - Prob. 28PCh. 2.6 - Prob. 29PCh. 2.6 - Prob. 30P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- 4. The moment generating function of the random variable X is given by 10 Mx (t) = exp(2e¹-2) and that of Y by My (t) = (e² + ²) ² Assuming that the random variables X and Y are independent, find (a) P(X+Y 0). (c) E(XY).arrow_forward1. In a two-class problem, the likelihood ratio is p(x|C₁) p(x|C₂) Write the discriminant function in terms of the likelihood ratio.arrow_forwardFully developed flow moving a 40 cm diameter pipe has the following velocity profile: Radius r, cm 0.02.55.07.510.0 12.5 15.0 17.5 20.0 Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204 0 Find the volumetric flow rate Q integrate from 0 to R using the relationship Q = [_0^R_ 2rtrvdr. Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity. Solve the problem using two steps. Fit a polynomial curve to the velocity data using polyfit. Integrate the equation using int.arrow_forward
- Construct a graph to show how the time to complete the 10th car changes as the learning curve slope parameter is varied from 75% to 95%. The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine, Solve, (a) the time it will take the team to assemble the 10th car. (b) the total time required to assemble the first 10 cars. (c) the estimated cumulative average assembly time for the first 10 cars. Solve by hand and by spreadsheet.arrow_forwardDetermine whether each of these functions has a big-Ω relationship.(a) f(x) = 5, ?(x) = x(b) f(x) = 2? − 7, g(x) = x(c) f(x) = ?2 + ? + 2, g(x) = x(d) f(x) = 3? log(?) , g(x) = xarrow_forwardA particle of (mass= 4 g, charge%3 80 mC) moves in a region of space where the electric field is uniform and is given by E, =-2.5 N/C, E = E, = 0. If the velocity of the particle at t = 0 is given by Vz = 276 m/s, v, = v, = 0, what is the speed of the particle at t = 2 s? %3D (in m/s)arrow_forward
- 3. Suppose that we have a model of flu causing a high temperature, with prior P(Flu)=0.05, and CPT values P(HighTemp=T|Flu=T)=0.9, (HighTemp=T|Flu=F)=0.2 . If a person has a high temperature, what is the probability of being diagnosed with flu?arrow_forwardSolve with Python: Compute the steady-state distribution of concentration for the tank shown in Fig. P32.4. The PDE governing this system is D((∂^2c/∂x^2) + (∂^2c/∂y^2)) − kc = 0 and the boundary conditions are as shown. Employ a value of 0.6 for D and 0.1 for k.arrow_forwardIt is known that a natural law obeys the quadratic relationship y = ax“. What is the best line of the form y = px + q that can be used to model data and minimize Mean-Squared-Error if all of the data points are drawn uniformly at random from the domain [0,1]? r* ur, a,arrow_forward
- What is the likelihood ratio p(x|C₁) p(x|C₂) in the case of Gaussian densities?arrow_forwardIn most of Europe and Asia annual automobile insurance is determined by the bonus malus system. Each policyholder is given a number (state) and the policy premium is determined as a function of this state. A policy holder's state changes from year to year in response to the number of claims made by the policy holder. Suppose the number of claims made by a particular policyholder in any given year, is a Poisson random variable with parameter A. Let. si(k) be the next state of a policyholder who was in state i in the previous year and who made k claims in that year. The following table is a simplified Bonus-Malus system having 4 states. Next state if Annual State O claims 1 claim 2 claims 3 or more claims Premium 1 200 3 4 250 1 3 4 4 400 2 4 4. 4 4 600 4 4 4 For A =2 A. Find the mean time to return to state 1 (if you start in state 1): (round to 2 decimals) B. Find the expected annual premium for a random person after it has been with the insurance company for a while: decimals) (round…arrow_forwardThe voltage V(1) (in V) and the current i(t) (in Amp) t seconds after closing the switch in the circuit shown are given by: R Vdt) = V(1– e/) i(t) = e, where t, = RC is the time constant. Consider the case where V = 24 V, R = 3800 2 and C = 4000 x 10-6 F. Determine the voltage and the current during the first 20 s after the switch is closed. Create a vector with values of times from 0 to 20 s with spacing of 2 s, and use it for calculating V(1) and i(t). Display the results in a three-column table where the values of time. voltage and current are displayed in the first, second, and third columns, respectively. (To display values in a Table, just create matrix and have its output displayed) Script ® C Reset I MATLAB Documentation 1 %Don't change the variable name 2 table =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole