Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. euler’s method let’s get our hands dirty and a

Euler’s Method Let’s get our hands dirty and actually use Euler’s method to estimate the value...

50.1K

Verified Solution

Question

Advance Math

Euler’s Method Let’s get our hands dirty and actually useEuler’s method to estimate the value of y(2) where y is thesolution to the initial value problem

y?=y?2x            y(0)= 1

Recall that Euler’s method says: Approximate values for thesolution of the initial value problem

y?=F(x, y),y(x0) =y0 with step size h, at xn=xn?1+h, are

yn=yn?1+hF(xn?1, yn?1)

Fill in the table for steps of size h= 0.2.

nxnyn=yn-1+0.2F(xn-1,Yn-1y'=F(xn,yn)
001
1

.2

2.4
3
4
5
6
7
8
9
10

Graph the portion of the approximate solution curve you foundabove. It should look like a lot of line segments. The firstsegment has been given on the grid below:

(c) Suppose f(x) is an exact solution to the initial valueproblem above. Describe, with justification, the behavior off(x) asx??. Hint: Graphing a slope field may be helpful for this.

Answer & Explanation Solved by verified expert
4.4 Ratings (916 Votes)
h 0200000000000000ntnyEulerdydx0 0000000 1000000 10000001 0200000 1200000    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

This antimicrobial drug specifically targets the synthesis of DNA A Ciprofloxacin B Polymyxin C Sulfonamide...

Psychology
1.2K views

Task 1: Applying Creative Style to Products of Design and Invention In this essay, I would...

Physics
1.2K views

An object is thrown vertically upward with an initial speed of 56.9 m/s. (Assume the object...

Accounting
1.2K views

Please refer 2 items as below from Microsoft’s Letter to Shareholders as below. And refer them...

Biology
1.2K views

The metabolic conversion of glucose to amino acids is called Glycogenolysis Gluconeogensis There is no...

Basic Math
1.2K views

Suppose it is estimated that 14% of American women are currently on a diet. A...

Calculus
1.2K views

Suppose that the functions q and r are defined as follows.q(x) = x-2r(x) = 2x...

Accounting
1.2K views

Question 4 Entries for Stock Dividends Vienna Corporation has 36,000 shares of $80...

Accounting
1.2K views

The Akron Slugger Company produces various types of wooden baseball bats. It has calculated the...

Accounting
1.2K views

show all working step by step in an Excel sheet. thanks The U...

Accounting
1.2K views

Chapter 10 TRP 10-2 Lauprechta Incorporated has the following employees on payroll: Assume that...

Finance
1.2K views

Your investment portfolio consists of $14,000 invested in only one stock Microsoft. Suppose the risk-free...