4. Consider the system dy = y1 - 2y2 - 2e¬t + 2 dt dy2 = 2y1 – Y2 - 2e- + 1 dt with initial values y1(0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e=t and y2(t) = 1. Using %3D Euler's method solve the above system for 0

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

Numerical analysis 

please write in a clear manner 

 

4.
Consider the system
dy1
= y1 - 2y2 – 2e¬t + 2
dt
dy2
2y1 - Y2 - 2e¬ + 1
dt
with initial values y1(0)
= 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using
%3D
Euler's method solve the above system for 0 <t <0.1 with stepsizes h = 0.05 and h = 0.025.
Transcribed Image Text:4. Consider the system dy1 = y1 - 2y2 – 2e¬t + 2 dt dy2 2y1 - Y2 - 2e¬ + 1 dt with initial values y1(0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using %3D Euler's method solve the above system for 0 <t <0.1 with stepsizes h = 0.05 and h = 0.025.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

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,