Express the following first-order system as a single higher-order differential equation and solve using the given initial conditions. Make sure to change the initial conditions appropriately. Evaluate the system at t = 1 and select the most approximate vector form. y₁ = 2y₁ + 4y2 y2 = 4y1 + 2y2 y₁ (0) = 2, y2 (0) = 3. Y1 (1) Y2 (1) ° [U 1167.244 1167.574

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Express the following first-order system as a single higher-order
differential equation and solve using the given initial conditions.
Make sure to change the initial conditions appropriately. Evaluate
the system at t = 1 and select the most approximate vector form.
y₁ = 2y₁ +4y2
y2 = 4y1 + 2y2
y₁ (0) = 2, y2 (0) = 3.
O [31 (1)
L32 (1).
Y2
O [y₁ (1)
Y2
y₁ (1)]
1 (1)
Y2 (1).
=
=
-
=
[1167.244]
1167.574
1008.504
1008.640
852.515
852.724]
998.587
998.451
Transcribed Image Text:Express the following first-order system as a single higher-order differential equation and solve using the given initial conditions. Make sure to change the initial conditions appropriately. Evaluate the system at t = 1 and select the most approximate vector form. y₁ = 2y₁ +4y2 y2 = 4y1 + 2y2 y₁ (0) = 2, y2 (0) = 3. O [31 (1) L32 (1). Y2 O [y₁ (1) Y2 y₁ (1)] 1 (1) Y2 (1). = = - = [1167.244] 1167.574 1008.504 1008.640 852.515 852.724] 998.587 998.451
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 43 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education