Consider the ODE in problem 2 subject to the boundary conditions. dy (0) = 2, (1)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the ODE in problem 2 subject to the boundary conditions. dy (0) = 2, (1) = -2. Solve the boundary value problem (BVP) using the Matlab functions bvp4c and ode45. Using some of the work in obtaining the analytical solution to problem 2, establish that the analytical solution the BVP is y(x) (5.7e-0.7e-² + 4x-3). Provide either a plot of y(r) for 0 <r < 1 or values of y(a) at æ = 0.2, 0.4, 0.6, 0.8, and 1 (numerical and analytical solutions). 2. [28 points] Solve the ordinary differential equation (ODE) d'y (-) = (2²-42+1), 0<r <1 subject to the initial conditions (0) = 2,(0) = 1, using the Matlab function ode45. Establish that the analytical solution to the initial value problem is y(x) = (4e +² - ² + 4x-3). Provide either a plot of y(r) for 0<x<1 (obtained using ode45) or values of y(r) at r = 0.2, 0.4, 0.6, 0.8, and 1 (numerical and analytical solutions). Consider the ODE in problem 2 subject to the boundary conditions. dy (0) = 2, (1) = -2. Solve the boundary value problem (BVP) using the Matlab functions bvp4c and ode45. Using some of the work in obtaining the analytical solution to problem 2, establish that the analytical solution the BVP is y(x) (5.7e-0.7e-² + 4x-3). Provide either a plot of y(r) for 0 <r < 1 or values of y(a) at æ = 0.2, 0.4, 0.6, 0.8, and 1 (numerical and analytical solutions). 2. [28 points] Solve the ordinary differential equation (ODE) d'y (-) = (2²-42+1), 0<r <1 subject to the initial conditions (0) = 2,(0) = 1, using the Matlab function ode45. Establish that the analytical solution to the initial value problem is y(x) = (4e +² - ² + 4x-3). Provide either a plot of y(r) for 0<x<1 (obtained using ode45) or values of y(r) at r = 0.2, 0.4, 0.6, 0.8, and 1 (numerical and analytical solutions).
Expert Answer:
Answer rating: 100% (QA)
x yexact yode45 0 2 2 02 225632577047210 225632576746533 04 261310488178383 261310488131377 06 30573... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Consider the following linear program P with two resources and three activities. The resources are in the amounts of 8 and 4 and the activities are represented by the three variables. Maximize Z =...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
Required A. Calculate Mr. Worthy's minimum employment income for the current year. B. Assume Mr. Worthy had only $4,000 in commission income in addition to his $65,000 salary. Calculate Mr. Worthy's...
-
An experiment with artillery shells yields the following data on the characteristics of lateral deflections and ranges. Would you conclude that deflection and range are independent? Use a = 0.05....
-
Two binary symmetric channels are connected in cascade, as shown in figure. Find the overall channel capacity of the cascaded connection, assuming that both channels have the same transition...
-
Unique Items Inc. has developed a new office product. The firm has conducted significant market research and estimated the following pattern for sales of the new product: The firm wants to net a...
-
The bookkeeper of Coast Co. gathered the following data from individual employee earnings records and daily time cards. Your task is to complete a payroll register on November 17. Assume the...
-
Determine potential internal risk factors for conducting the external audit. Include the following: Risk related to structure of the company based on the client interview Risk discovered during due...
-
Analyze whether counseling for weight reduction has a significant effect on reducing blood pressure? Hypertension Some common strategies for treating hypertensive patients by nonpharmacologic methods...
-
Your company has just undergone a great deal of growth and used a variety of recruitment methods to identify new talent to hire. What metrics would you use to decide which recruitment methods were...
-
Given a basis of R : 2 Which one of the following is an orthonormal basis of R produced by using the Gram-Schmidt process on the given basis and normalizing the result? 2 1 1 2 6 3/2 8/7 -2/7 4/7...
-
Piedmont Company segments its business into two regions-North and South. The company prepared the contribution format segmented income statement as shown: Sales Variable expenses Contribution margin...
-
Under its plan of liquidation, Better Corp will distribute all of its assets to its sole shareholder, Barry. The assets have a FMV of $50,000 and an adjusted basis of $14,000. Barry's basis in Corp...
-
What is the average net present value that Orange Tech earns from his customer?
-
Suppose that left-handed people are more prone to accidents than right-handed. Lefties have a certain chance of suffering an injury equivalent to a $500 loss; righties only have a 50 percent chance....
-
Task Description: Report Outline In your group, think of a course that you would love to see added to the curriculum here at Alpha. You will be creating an Outline of the proposal that includes the...
-
Sundial Technologies produces and sells customized network systems in New Brunswick. The company offers a 60-day, all software and labor-and an extra 90-day, parts-only- warranty on all of its...
-
Skew-Symmetric Matrices: An n n matrix J is called skew-symmetric if JT = - J. (a) Show that every diagonal entry of a skew- symmetric matrix is zero. (b) Write down an example of a nonsingular...
-
(a) Prove that a positive definite matrix has positive determinant: det K > 0. (b) Show that a positive definite matrix has positive trace: tr K >0. (c) Show that every 2 x 2 symmetric matrix with...
-
Choose two of the groups in Exercise 9.4.36 or 9.4.37, and determine whether or not they commute by looking at their infinitesimal generators. Then verify your conclusion by directly computing the...
-
Are there any limits to how little inventory a company should carry? Is it possible to entirely eliminate all inventories?
-
How can innovative uses of IT to perform expenditure cycle activities also be used to improve the efficiency and effectiveness of suppliers revenue cycle activities? Why might a company wish to help...
-
George Edmonds, the new accountant for Zigler Company, has recommended the preparation of income statements reporting contribution margin rather than statements reporting gross profit. He states that...
Study smarter with the SolutionInn App