Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let y(t) be the solution to y = 3te¯½ satisfying y(0) = 0. (a) Use Euler's Method with time step h = = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 10.2 0 Yk 0 20.4 0.12 30.6 0.3329 40.8 0.5909 5 1.0 0.8568 (b) Use separation of variables to find y(t) exactly. y(t) = log (((3t^2) / 2) + 1) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) — y₁| = 0.0253 |y(0.6) — y3| = = |y(1) — y5| 0.1454 = 0.4589

Let y(t) be the solution to y = 3te¯½ satisfying y(0) = 0. (a) Use Euler's Method with time step h = = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 10.2 0 Yk 0 20.4 0.12 30.6 0.3329 40.8 0.5909 5 1.0 0.8568 (b) Use separation of variables to find y(t) exactly. y(t) = log (((3t^2) / 2) + 1) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) — y₁| = 0.0253 |y(0.6) — y3| = = |y(1) — y5| 0.1454 = 0.4589

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

part c please

Let y(t) be the solution to y = 3te¯¼ satisfying y(0) = 0. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 10.2 0 20.4 0.12 30.6 0.3329 40.8 0.5909 51.0 0.8568 Yk 0 (b) Use separation of variables to find y(t) exactly. y(t) = log (((3t^2) / 2) + 1) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) — y₁| 0.0253 |y(0.6) — y3| |y(1) — y5| = = = 0.1454 0.4589
Transcribed Image Text:Let y(t) be the solution to y = 3te¯¼ satisfying y(0) = 0. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 10.2 0 20.4 0.12 30.6 0.3329 40.8 0.5909 51.0 0.8568 Yk 0 (b) Use separation of variables to find y(t) exactly. y(t) = log (((3t^2) / 2) + 1) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) — y₁| 0.0253 |y(0.6) — y3| |y(1) — y5| = = = 0.1454 0.4589
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS