g. What can you conclude from the results in (d), (e) and ()?

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

Help me answer the question. Letter G only!!

1. Consider the ODE
y in y dx – xdy = 0
With initial condition: y(2)
a. Determine the general solution using appropriate analytical process.
b. Find the particular solution using the given initial condition.
c. Using Euler method, approximate the solution at x = 3.0 using a step size h = 0.1
y w???
d. What is the relative absolute error at X= 3.0 using a step size h = 0.1?
%Errabs =???
e. Repeat (c) and (d) using a step size h = 0.05.
f. Repeat (c) and (d) using a step size h= 0.025.
g. What can you conclude from the results in (d), (e) and (f)?
Transcribed Image Text:1. Consider the ODE y in y dx – xdy = 0 With initial condition: y(2) a. Determine the general solution using appropriate analytical process. b. Find the particular solution using the given initial condition. c. Using Euler method, approximate the solution at x = 3.0 using a step size h = 0.1 y w??? d. What is the relative absolute error at X= 3.0 using a step size h = 0.1? %Errabs =??? e. Repeat (c) and (d) using a step size h = 0.05. f. Repeat (c) and (d) using a step size h= 0.025. g. What can you conclude from the results in (d), (e) and (f)?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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,