Given the initial-value problem 2 y' ==y+tet, 1t 2, with exact solution y(t) = t(et e)....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Given the initial-value problem 2 y' ==y+tet, 1t 2, with exact solution y(t) = t(et e). Modify the Euler code I provided to solve this problem with the following different N's: N = 10, 20, 40, 80,and 160 - y(1) = 0, (a) Plot the numerical solutions vs. the exact solutions for N = 10, 20, and 40. (b) List the errors at t - doubled? : 2 for N = 10, 20, 40, 80, and 160. How much is the error decreased when N is Given the initial-value problem 2 y' ==y+tet, 1t 2, with exact solution y(t) = t(et e). Modify the Euler code I provided to solve this problem with the following different N's: N = 10, 20, 40, 80,and 160 - y(1) = 0, (a) Plot the numerical solutions vs. the exact solutions for N = 10, 20, and 40. (b) List the errors at t - doubled? : 2 for N = 10, 20, 40, 80, and 160. How much is the error decreased when N is
Expert Answer:
Answer rating: 100% (QA)
Heres the modified Euler code to solve the initialvalue problem for different N values and plotting the results python import matplotlibpyplot as plt ... View the full answer
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Posted Date:
Students also viewed these finance questions
-
A) Let A = {1,2, 3, 4} and R a relations on A whose matrices is MR = [1 0 1 1 %3D 0 1 1 1 1 1 0 0 0 1
-
Thoroughly explain opportunities and challenges in technology, ethics, social responsibility, organizational culture, and globalization that sport managers face today and in the near future.
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
DEFINE TABLE AUTHORS WITH COLUMNS AUTHORID INT AND AUTHORNAME VARCHAR(30),ADD COLUMN LEVEL PRIMARY KEY CONSTRAINT FOR AUTHORID, ADD COLUMN LEVEL NOT NULL CONSTRAINT FOR AUTHORNAME 2. DEFINE TABLE...
-
A 364g block is put in contact with a thermal reservoir. The block is initially at a lower temperature than the reservoir. Assume that the consequent transfer of energy as heat from the reservoir to...
-
The crash cost per period: a) Is the difference in costs divided by the difference in times (crash and normal). b) Is considered to be linear in the range between normal and crash. c) needs to be...
-
A \(60 \mathrm{vol} \%\) tributyl phosphate (TBP) in kerosene solvent extracts \(\mathrm{Zr}\left(\mathrm{NO}_{3} ight)_{4}\) from an aqueous solution. Entering solvent is recycled from a solvent...
-
Life-cycle costing Fearless Furniture Manufacturing (FFM) has been manufacturing furniture for the home for over 30 years. George Fearless, the owner, has decided he would like to manufacture an...
-
Suppose you held a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio's beta is 2.05. Now suppose you decided to sell one of the stocks in...
-
1. What factors might have enabled JLR to raise new debt at less than half the coupon rate of interest in 2015 compared with the debt raised in 2011? 2. Compute the amount at which existing...
-
Show that the potential function fai = A(r+ B/r)cos represents the flow of an ideal fluid around a long cylinder. Evaluate the constants A and B if the cylinder is 40 mm radius and the velocity of...
-
Highlands Company uses the weighted-average method in its process costing system. It processes wood pulp for various manufacturers of paper products. Data relating to tons of pulp processed during...
-
Create the annotated bibliography for the sources and a short description of source's credibility, and information used from the source. In the landmark case, Shelby County V. Holder (2013) , the US...
-
How does ethnic diversity within educational settings influence academic outcomes and the social development of students, and what best practices can educational institutions implement to foster...
-
Solve by factoring: 3x - 13x + 4 = 0 List the solutions, separated by commas.
-
1. Using excel find the answers to the following: (remember to use excel functions) a. Find the price today of a five year bond with a $1000 face value with a 10 percent coupon. Assume that investors...
-
Explain the significance of the New York School of Art in the 1 9 5 0 'sin America. Name at least 1 0 painters that were a part of this group.
-
1. What are some current issues facing Saudi Arabia? What is the climate for doing business in Saudi Arabia today? 2. Is it legal for Auger's firm to make a payment of $100,000 to help ensure this...
-
1. Transposes and Symmetry prove that if A is symmetric then so is AT? 2. Symmetry and Products give an example to show that the product of symmetric matrices is not necessarily symmetric?
-
Each matrix i n Problems 1 to 3 corresponds to one of the linear transformations in Problem 54. Match each matrix with the corresponding image from Fig. 5. 1.9. 1. 2. 3. 0 and 0 0
-
The U.S. government has dumped roughly 100,000 barrels of radioactive waste into the Atlantic and Pacific oceans. The waste is mixed with concrete and encased in steel drums. The drums will...
-
The following information is taken from the Fossil, Inc. 2015 annual report: Calculate Fossils actual and sustainable rate of growth in sales. How do the two rates of growth compare? What advice...
-
Presented below are selected financial data from the 2015 annual report of the Bristol-Myers Squibb Company: Required Using the ratio definitions from Exhibit 4.6, calculate the financial ratios for...
-
Presented below are selected financial data from the 2015 annual report of The Boeing Company: Required Using the ratio definitions from Exhibit 4.6, calculate the financial ratios for The Boeing...
Study smarter with the SolutionInn App