Using Runge-Kutta method of order 4, find y for x=0.1,0.2,0.3 given that , )0( ;.1 2 = y + xy y

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
Title
12. Using Runge-Kutta method of order 4, find y for x=0.1,0.2,0.3 given that , )0( ;.1 2 = y + xy y.
Description
12. Using Runge-Kutta method of order 4, find y for x=0.1,0.2,0.3 given that , )0( ;.1 2 = y + xy y = dx dy and also find the solution at x=0.4 using Milne’s method. (16) 13.a. Given 1( ), )1( ,1 )1.1( .1 233, )2.1( .1 548, )3.1( .1 979, 2 = x + y y = y = y = y = dx dy evaluate y(1.4) by Adams – Bashforth method. (8) b. Given , )0( ;.1 2 = y - x y = dx dy y(0.2) = 1.1218 y(0.4) = 1.4682 y(0.6) = 1.7379 estimate y(0.8) by Adam’s method (8) 14. Consider the initial value problem ,1 )0( .5.0 2 = y - x + y = dx dy (16) a. Using the modified Euler method, find y(0.2) b. Using 4th order Runge-Kutta method, find y(0.4) and y(0.6) c. Using Adam-Bashforth Predictor- Corrector method. Find y(0.8).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Parabolas
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,