FREE Trial

Use a numerical solver and Eulers method to approximate y(1.0), where y(x) is the solution to y' = 2xy 2

Question:

Use a numerical solver and Euler’s method to approximate y(1.0), where y(x) is the solution to y' = 2xy2, y(0) = 1. First use h = 0.1 and then use h = 0.05. Repeat, using the RK4 method. Discuss what might cause the approximations to y(1.0) to differ so greatly.


This problem has been solved!


Do you need an answer to a question different from the above? Ask your question!

Step by Step Answer:

Answer rating: 58% (12 reviews)

Using separation of variables we find that the solutio…View the full answer


answer-question
Answered By
tutor-profile-image
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+ 1+ Reviews 10+ Question Solved
Related Book For  answer-question
A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

See More Books
Question Details
Chapter # 2
Section: Exercise Questions
Problem: 203
View Solution
Create a free account to access the answer
Cannot find your solution?
Post a FREE question now and get an answer within minutes. * Average response time.
Question Posted: July 09, 2018 14:05:25
See More Questions

Students also viewed these Mathematics questions

Q:
Use a numerical solver to obtain a numerical solution curve for the given initial-value problem. First use Eulers method and then the RK4 method. Use h = 0.25 in each case. Superimpose both solution...
A:
Tables of values were computed using the......
Q:
Use a numerical solver to obtain a numerical solution curve for the given initial-value problem. First use Eulers method and then the RK4 method. Use h = 0.25 in each case. Superimpose both solution...
A:
Tables of values were computed using the Eu......
Q:
Use a numerical solver and Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = y - y 2 , y(0) = 0.5; y(0.5)
A:
h 0 1 h 0 05 x 21......
Q:
Let R denote the set of continuous functions with domain R (as in calculus). Then R is a commutative ring with identity. The additive identity OR is the zero function (that is, the function h(x)...
A:
Click to View...
Q:
What are the key factors that should be considered in determining whether a financial statement amount is "material"? Should auditors apply the same materiality guidelines or benchmarks as financial...
A:
Material Amount The International Accounting Standards and International......
Q:
The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of the survey,...
A:
a The following Excel output provides the estimated multiple linear regression equation with satisfaction trade price x1 and satisfaction with speed of execution x2 as the independent variables The es......
Q:
Belbin argued that a successful team was one in which all nine of his roles were represented. What factors, inside or outside the organization, other than team role preferences, are likely to affect...
A:
The success or failure of a team within an organization is influenced by a multitude of factors beyond the representation of Belbin s nine team roles Here are several key internal and external factors......
Q:
The New York Times (Nov. 30, 1993) reported that the inability of OPEC to agree last week to cut production has sent the oil market into turmoil . . . [leading to] the lowest price for domestic crude...
A:
a OPEC members were trying to reach an agreement to cut production so they c......
Q:
Interest expense appears in which financial statement? A. Statement of stockholders equity B. Balance sheet C. Income statement D. Statement of cash flows E. All of the above
A:
The detailed answer for the above que......
Q:
The Davis Lamp Company (DLC) is a wholesale company that purchases lamps from the manufacturer and resells them to retail stores. The company has three inventory items: desk lamps, table lamps, and...
A:
Requirements 1 4 5 10 Cash Bal 457 000 Oct 20 176 400 250 000 Oct 30 Oct 23 19 600 40 000 Oct 31 Nov 5 249 900 2 500 Oct 31 Nov 8 58 800 1 000 Nov 10 Nov 28 217 800 40 000 Nov 30 Dec 15 40 000 2 670 N......
Q:
(a) Use a numerical solver and the RK4 method to graph the solution of the initial-value problem y' = -2xy + 1, (0) = 0. (b) Solve the initial-value problem by one of the analytic procedures...
A:
a The graph to the right was obtained using RK4 and ListPlot in Mathema......
Q:
Use a numerical solver and Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = xy 2 y/x, y(1) = 1; y(1.5)
A:
h 0 1 h 0 05 x A......
Q:
For each of the following ten pairs of statements, divide five points between the two according to your beliefs, perceptions of yourself, or according to which of the two statements characterises you...
A:
Click to View...
Q:
Certain occupations are widely considered to be more vulnerable to disability than others. One example is that of a surgeon, who is likely a high-income earner although his/her ability to perform the...
A:
Reflecting on this scenario it s evident that addressing disability planning is crucial for high income individuals in vulnerable occupations When hav......
Q:
Required: 1. Prepare a summarized income statement for the year. 2. Prepare a statement of stockholders' equity for the year. 3. Prepare a balance sheet at year end. Assume that you are the president...
A:
To prepare the summarized income statement statement of stockholders equity and balance sheet for In......
Q:
Margo Wicks is a staff accountant with Food to Go Ltd. (FGL). FGL operates a variety of food trucks in a large Canadian city. The company started with just one food truck in 2010, and by 2013 it had...
A:
Based on the information provided Margo needs to perform an impairment test on the ice cream trucks as of December 31 2020 The impairment test compares the carrying amount of the asset the trucks with......
Q:
The total assets of Metlock Inc. are $420,000 and its liabilities are equal to half its total assets. What is the amount of Metlock's shareholders' equity?
A:
Shareholders equity is the residual interest in the assets of a company after deducting its liabi......
Q:
Tablet Company is looking to set up a wholly owned subsidiary firm, which will sell cheap, rugged computers in developing countries. The debt schedule for the firm is predetermined and shown below...
A:
a To calculate the terminal value of the project as of year 2 we need to consider the perpetuity of free cash flows beyond year 2 and the tax shield The free cash flow FCF in year 2 is 200 Since the F......
Q:
Determine Vo in the circuit in Fig. 2.80. Figure 2.80 For Prob. 2.16. 6 2 9 vt 3 V 0
A:
Apply KVL 9 6......
Q:
After graduating from college and working a few years at a small technology firm. Preet scored a high-level job in the logistics department at Amex Corporation. Amex sells high-quality electronic...
A:
Some of the choices o......
Q:
Solve the given initial-value problem. 2y'y'' = 1, y(0) = 2, y'(0) = 1
A:
Integrating w r to x we ge......
Q:
Solve the given initial-value problem. y'' + x(y') 2 = 0, y (1) = 4, y'(1) = 2
A:
Using initial condition Using con......
Q:
Find two solutions of the initial-value problem
A:
Click to View...
UK Accounting And Reporting An Introduction 1st Edition - ISBN: 979-8640937275 - Free Book