Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. use euler's method with each of the following step

Use Euler's method with each of the following step sizes to estimate the value of y(0.8),...

90.2K

Verified Solution

Question

Basic Math

Use Euler's method with each of the following step sizes toestimate the value of y(0.8), where y is thesolution of the initial-value problem: y' = y,y(0) = 5.

(i)    h = 0.8

y(0.8) = 9

(ii) h = 0.4

y(0.8) = 9.8

(iii)    

h = 0.2

y(0.8) = ?

The error in Euler's method is the difference between the exactvalue and the approximate value. Find the errors made in part (a)in using Euler's method to estimate the true value ofy(0.8), namely 5e0.8.

(Round your answers to four decimal places.)

h = 0.8

error = (exact value) ? (approximate value) = 2.1277

h = 0.4

error = (exact value) ? (approximate value) = 1.3277

h = 0.2

error = (exact value) ? (approximate value) =?

Answer & Explanation Solved by verified expert
4.4 Ratings (754 Votes)
    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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Why is WWI considered the first “modern” war? • How are changes in technology and style...

Psychology
Q

the filament of an incandescent lamp sits between two

Electrical Engineering
Q

What type of disease spread occurred with the cholera outbreak following the earthquake in Haiti...

Biology
Q

The period of this function is EIN 2x AM 2

Geometry
Q

sentence or two explaining your reasoning or calculations you did in R 1 A certain...

Statistics
Q

1Consider the functions f(x) = 7x ? 6 and g(x) = (x + 6).(a) Find...

Calculus
Q

1 Let A a xn be symmetric and positive definite Show that a a 0...

Algebra
Q

During May the company Incurred the following actual costs to...

Accounting
Q

La empresa A y la empresa B son empresas idnticas, excepto que la empresa A...

Accounting
Q

GEOGR 1200-C Hureagreb (Hybrid) Assignment Canada Snowcones (CSU) owned and operated 20 retail frozen yogurt...

Accounting
Q

d overhead variances Budget TOTAL FIXED OVERHEAD EXPENDITURE VARIANCE (Budgeted fixed overhead fxed overhead)

Accounting
Q

Financial Statements and Closing Entries The Gorman Group is a financial planning services firm...

Accounting