Consider the initial value problem: dy dx -2x-y=0 with y (0)=2 a) Solve this IVP exactly using any method of your choice. b) Calculate y(1) to four decimal places. 6.8731 Then determine y(1) to four decimal places numerically: c) using the Euler method with h= 0.1

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

C and c answer 

Consider the initial value problem:
dy
dx
- 2x - y = 0
with y (0) = 2
a) Solve this IVP exactly using any method of your choice.
b) Calculate y(1) to four decimal places.
6.8731
Then determine y(1) to four decimal places numerically:
c) using the Euler method with h= 0.1
d) using the fourth order Runge -Kutta method with = 0.1
Tabulate your results, and show at least one sample set of calculations for each method. |
Transcribed Image Text:Consider the initial value problem: dy dx - 2x - y = 0 with y (0) = 2 a) Solve this IVP exactly using any method of your choice. b) Calculate y(1) to four decimal places. 6.8731 Then determine y(1) to four decimal places numerically: c) using the Euler method with h= 0.1 d) using the fourth order Runge -Kutta method with = 0.1 Tabulate your results, and show at least one sample set of calculations for each method. |
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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,