Solve y - y = 0 for the initial conditions y(0) = 1, y'(0) = -1. Then
Question:
Solve y" - y = 0 for the initial conditions y(0) = 1, y'(0) = -1. Then change the initial conditions to y(0) = 1.001, y' (0) = -0.999 and explain why this small change of 0.001 at t = 0 causes a large change later, e.g., 22 at t = 10. This is instability: a small initial difference in setting a quantity (a current, for instance) becomes larger and larger with time t. This is undesirable.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
By making the initial conditions of the system more nearly equal the current becomes less and less l...View the full answer
Answered By
Brian Otieno
I'm Brian , an experienced professional freelancer with countless hours of success in freelancing many subjects in different disciplines. Specifically, I have handled many subjects and excelled in many disciplines. I have worked on many Computer Science projects and have been able to achieve a lot in that field. Additionally, I have handled other disciplines like History, Humanities, Social Sciences, Political science, Health care and life science, and Religion / Theology. My experience generally in these subjects has made me able to deliver high-quality projects in a very timely fashion. I am very reliable at my job and will get the work done in time, no matter what. In Addition, I have managed to ensure that the work meets my client's expectations and does not cause an error. I am a hard-working and diligent person who is highly responsible for everything I do. Generally, Freelancing has made me more accountable for doing my job. Additionally, I have had a passion for writing for the last seven years in this field.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
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...
-
In the neighboring groups of New Yorkers and New Jersians, each produces only two products, bagels and calzones. By themselves, the New Yorkers, each day, can produce either 45 pounds of bagels and...
-
A solid cubical block of side length 0.6 m is suspended from a spring balance. When the block is in water, the spring balance reads 80% of the reading when the block is in air. Determine the density...
-
Benchmark different approaches to achieving and reassuring customers about their privacy and security using three or four examples for a retail sector such as travel, books, toys or clothing.
-
The management of Tritt Company has asked its accounting department to describe the effect upon the companys financial position and its income statements of accounting for inventories on the LIFO...
-
What economic costs and benefits might a business experience if it decided to adopt a more socially responsible position? How might such costs and benefits change over the longer term?
-
Ammonia is oxidized with air to form nitric oxide in the first step of the production of nitric acid. Two principal reactions occur: 4 NH 3 + 5O 2 ? 4NO + 6H 2 O 2 NH 3? + 3/2 O 2? ? N 2? + 3H 2 O A...
-
Discuss drive types and attachment methods for databases to be stored on servers. Should the data and the database logs be stored on the same drive? Why? Discuss the best way to analyze database...
-
Explain the difference between a required RFC and a recommended RFC.
-
Let r 1 , r 2 , . . . , r n be uniform random numbers. Define x i = ln r i and y i = ln (1 r i ), for i = 1, 2, . . . , n, and Label each of the following statements as true or false, and then...
-
Solve the following ODEs, showing the details of your work. y"' + 3y" + 3y' + y = e x - x - 1
-
A weir is an obstruction in a channel flow which can be calibrated to measure the flow rate, as in Fig. P5.32 The volume flow Q varies with gravity g, weir width b into the paper, and upstream water...
-
What is the difference between ethnocentrism and cultural relativism? explain and provide example
-
You take out an $19,000.00 car loan that calls for 48 monthly payments at an APR of 6.7%. Complete an amortization table and answer the following questions. You must complete the amortization table...
-
what would be the weight of a 1 0 0 kg person on an asteriods if the asteroids mass is 1 0 x 1 0 1 0 kh and its diameter is 2 0 0 km?
-
10. M.S.U. bookstore buys notebooks for $39 per box of 50. Find the selling price per notebook if the retailer maintains a markup of 20% on the selling price. Round to the nearest cent. 11. Murray's...
-
For the last two years, Margaret Lane has Invested in the shares of Garod Inc. Details of her purchases and sales of these shares are as follows: Shares Purchased (Sold) Per Share Value January 2020...
-
The safety requirements for hard hats worn by construction workers and others, established by the American National Standards Institute (ANSI), specify that each of three hats pass the following...
-
Identify the most stable compound:
-
An article in Bioresource Technology [Quantitative Response of Cell Growth and Tuber Polysaccharides Biosynthesis by Medicinal Mushroom Chinese Truffle Tuber Sinense to Metal Ion in Culture Medium...
-
The quality control department of a fabric finishing plant is studying the effects of several factors on dyeing for a blended cotton/synthetic cloth used to manufacture shirts. Three operators, three...
-
The percentage of hardwood concentration in raw pulp, the freeness, and the cooking time of the pulp are being investigated for their effects on the strength of paper. The data from a three-factor...
-
I am writing about Adidas in my marketing channels class. Your analysis must include the following: Clearly identify the firm's channel members Describe the current state of the channel (its...
-
FIXED MANUFACTURING OVERHEAD VARIANCE ANALYSIS The Sourdough Bread Company also allocates fixed manufacturing overhead products on the basis of standard direct manufacturing labour-hours. For 2017,...
-
Your firm has tangible assets of $101.6 million. You are planning to acquire a firm that is half your firm's size. You have bonds with a merger & acquisition covenant that requires the combined firm...
Study smarter with the SolutionInn App