Consider the initial-value problem y' = 6y, y(0) = 1. The analytic solution is y(x) = e©x. (a) Approximate y(0.1) using one step and the fourth-order RK4 method. (Round your answer to six decimal places.) 1.821400 (b) Find a bound for the local truncation error in y,. (Round your answer to nine decimal places.) 0.000718800

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

please  only  part B

Consider the initial-value problem y' = 6y, y(0) = 1. The analytic solution is y(x) = e©x.
(a) Approximate y(0.1) using one step and the fourth-order RK4 method. (Round your answer to six decimal places.)
1.821400
(b) Find a bound for the local truncation error in y,. (Round your answer to nine decimal places.)
0.000718800
Transcribed Image Text:Consider the initial-value problem y' = 6y, y(0) = 1. The analytic solution is y(x) = e©x. (a) Approximate y(0.1) using one step and the fourth-order RK4 method. (Round your answer to six decimal places.) 1.821400 (b) Find a bound for the local truncation error in y,. (Round your answer to nine decimal places.) 0.000718800
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Frequency Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,