Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 o 2.1082 2.1084 o 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 o 0.0681 0.0656 0.0243 0.0123
Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. 1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step size h = 0.5 o 2.1738 o 2.1082 2.1084 o 2.1763 2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied with step size h = 0.5 o 0.0681 0.0656 0.0243 0.0123
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Transcribed Image Text:Consider the differential equation.
(x + y)dx – xdy = 0
With the initial condition that y=1 and when x =1.
1. Approximate the value of y at x = 1.5 using the Second Order Runge Kutta Method with step
size h = 0.5
o 2.1738
2.1082
2.1084
2.1763
2. What is the Absolute Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied
with step size h = 0.5
0.0681
0.0656
0.0243
0.0123
Transcribed Image Text:3. What is the Relative Error for y at x = 1.5 if the Second Order Runge Kutta Method is applied
with step size h = 0.5
3.23%
0.58%
1.15%
3.11%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
