Tkrit University Civil engineering Department Third Stage Eng. Anal & Num Meth. Dr. Adnan layed Zedan Example: find the particular solution of y" - 3y' + 2y = 12e-2t y0) = 2 & y'(0) = 6
Q: 2. Solve the general solution for the First Order Linear DE. удх %3D (еУ + 2ху — 2х)dy
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Q: 1. Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem…
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Q: Consider the initial value problem: y" + 2y" - y' - 2y =e4, y(0) = 0, y'(0) = 0, y"(0) = 0 The…
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Q: Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem…
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Q: Let y be the solution of the initial value problem y' = x + y2, y(1) = 0 1) Approximate…
A: We have to approximate y (1.5)and y(3) using euler method.
Q: Find an explicit solution of the given initial-value problem. dx dt = 2(x²+1), x( ) = 1 X = Submit…
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Q: 9. Find the particular solution to the given initial value y''' - y' 0; y(0)= 2, y' (0) 3, y'' (0)
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Q: Find the largest interval for which the given initial-value problem has a unique solution. (x – 1)y"…
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Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √√₁-x² dy = 0, y(0) = 1/2…
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Q: 4. Appy Euler's method to find y(0. 6) for h = 0.2 given the initial value problem y' =x( 2- 3y),…
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Q: II. find an explicit solution of the given initial value problem using separation of variables. 5.…
A: Given initial value problem is xy2y'=y+1 ; y(3e2)=2 We have to solve the initial value problem…
Q: Find an explicit solution of the given initial-value problem. x2 dy = y − xy, y(-1) = -3 dx y =
A: We can solve as follows
Q: Use Euler’s method to approximate y(1.2), where y(x) is the solution of the initial-value problem x2…
A: Given differential equation is x2y''-2xy'+2y = 0, y(1) = 4, y'(1) = 9 where x >0
Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =
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Q: Find the integrating factor and solve the initial-value problem, xy' = -4y + 3x2; y(1) = 1. Find a…
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Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =
A: Given, y'=ey-x , y0=0To find : the solution to the initial-value problem.
Q: The solution of y" + y = 0 with initial conditions y (0) = 1 and =2 is にI2
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Q: Determine whether the initial value problem y′ = cos(t + y), y(t_0) = y_0 has a unique solution…
A: This is a problem of IVP.
Q: y' = 2t(1 + y), y(0) = 0 Investigate the existence and uniqueness of the initial problem.
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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y,, Y, Y and y, of the…
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Q: The graph of a solution of a second-order initial-value problem Y = f(x, y, y'), y(2) = yor Y'(2) =…
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Q: Given an initial value problem y = 2xy, y(1) = 1; y(1.5). (i) Find an explicit solution of the…
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Q: Find an explicit solution of the given initial-value problem. V1- dx - V1 - x² dy = 0, y(0) V1- V3x…
A: Given: The given equation is 1-y2dx-1-x2dy=0,y(0)=22
Q: Consider the initial value problem: dy = (x - y)2; y(0) = 1 %3D da (a) Using Euler's Method with two…
A: Given dydx=x-y2 ; y0=1fx,y=x-y2
Q: 2. What is the solution to the initial-value problem PD.E. ut = c²uxx (u(x,0) = 0 lu,(x,0) = xe-x -…
A: Given that utt=c2uxx -∞<x<∞, 0<t<∞ux,0=0 and utx,0=xe-x2, -∞≤x<∞ It is a…
Q: (a) Consider the initial value problem dy y(0) = 3. %3D dt -3 Does Picard's Theorem guarantee local…
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Q: find the solution of the given initial‑value problem. Then plot a graph of the solution.…
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Q: Use Euler's method with step size 0.1 to mpute the approximate y-values y1, Y2, and of the solution…
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Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…
A: Firstly we will solve the given differential equation by using variable separable form then…
Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =
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Q: x = c,cost + c2sint is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a…
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Q: S y = xe3 – 2y, y(0) xeš – 2y, 0.
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Q: Find an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…
A: Solve the following
Q: Use Euler's method with the specified step size to determine the solution at the given initial-value…
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Q: Considering the initial value problem 4y ′ ′ + 2cos (3xy) = 0, y (0) = 2, y ′ (0) = 3. complete the…
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Q: Use Euler's method with step size h = 0.1 to approxi- mate y(1.2), where y(x) is a solution of the…
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Q: -+x Let y(x) = e? be the exact solution to the initial value problem (IVP) y' = xy + y, y(0) = 1. 1)…
A: Hello, thanks for your question but according to our policy I am answering the very first question.…
Q: Find an explicit solution of the given initial-value problem. 1 √1-y² dx √1-x² dy = 0, y(0) = = y =
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Q: Use Euler's method with step size h = 0.3 to approximate y(1.6) where y(x) is a solution of the…
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Q: xy²y' = y + 1; y(3e²) = 2
A: Given that a differential equations and we solve this differential equation by using saparation…
Q: Consider the initial-value problem у" + yу' %3D 0, У(0) %3D 1, у'(0) 3D - 1. (a) Find an explicit…
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Q: Consider the initial value problem (IVP): dy 4x +3z2y? + 2x y- = 0, y(1) = -1. dx (a) Solve the…
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Q: Find an explicit solution of the given initial-value problem. 2 dy dx = y - xy, y(-1) = -3 y =
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Q: Using Adam-Moulton predictor-corrector method, find the solution - y -r, y(0) =1 at t = 1.0 with h…
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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y= nd y4 of the…
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Q: Use Euler's method with step size 0.250.25 to compute the approximate yy-values y1,y1, y2,y2, y3,y3,…
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Q: 2. Find the solution of the given initial value problem using Method of Undetermined Coefficient…
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Q: A/ Apply Euler's method to obtain the approximate value of y (0.3), where y (x) is the solution of…
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Q: Find the solution of the given initial value problem. y" + y' – 2y = 0 y(0) = 1, y'(0) = 1 %3D…
A: The objective is to find the solution of the initial value problem y"-y'-2y=0, y0=1, y'0=1 Consider…
Q: Inspect a sketch of typi- cal solution curves to determine the points (a, b) for which the initial…
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Find the general solution (and a particular solution for the IVP) and determine whether there is any transientterm in the general solutionIn immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots. Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity. The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC gives quantitative measurements of humoral immunity. This is clearly a two-sample (non-paired) design. Therefore, you need to perform a Mann-Whitney-U test to check for differences. Bear in minds that rank assignments in Excel can be quite tricky and, therefore, if you need to do a Mann-Whitney rank assignment it is probably best to do this by hand. 1) What is the rank sum of the PHA data of the individuals, which received carotenoids and what is the…
- In immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots. Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity. The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC gives quantitative measurements of humoral immunity. This is clearly a two-sample (non-paired) design. Therefore, you need to perform a Mann-Whitney-U test to check for differences. Bear in minds that rank assignments in Excel can be quite tricky and, therefore, if you need to do a Mann-Whitney rank assignment it is probably best to do this by hand. 1) What is the rank sum of the SRBC data of the individuals, which received carotenoids and rank sum of…A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…
- In which situation cointegration test can be performed? Write down its null Also, refer the given table and interpret the results?The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?
- An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findingsAUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.Y9 RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2⁄5 ton of material 1 and 3⁄5 of material 3. A ton of solvent base is a mixture of 1⁄2 ton of material 1, 1/5 ton of material 2, and 3⁄10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Material Amount Available for Production Material 1 33 tons Material 2 9 tons Material 3 36 tons Assuming that RMC is interested in maximizing the total profit contribution, answer the following. (Assume F is the number of…