Consider the following initial value problem 2 x(0) = [ ² ], where x = 1. dx dt 81. (a) Calculate the matrices B and G of the real canonical form = x₁(t) x₂(t) [14] x. X, 47 dy dt x = Gy, (b) Sketch the phase portrait on the (y₁, y2) plane, displaying the typical orbits and directions. = By.
Consider the following initial value problem 2 x(0) = [ ² ], where x = 1. dx dt 81. (a) Calculate the matrices B and G of the real canonical form = x₁(t) x₂(t) [14] x. X, 47 dy dt x = Gy, (b) Sketch the phase portrait on the (y₁, y2) plane, displaying the typical orbits and directions. = By.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Needed to be solved Both parts correctly in 10 minutes and get the thumbs up please show neat and clean work for it
![Consider the following initial value problem
= [14] x x(0) = [²],
dt
7
dx
x₁ (t)
where x =
x₂(t)
(a) Calculate the matrices B and G of the real canonical form
x = Gy,
(b) Sketch the phase portrait on the (y₁, y2) plane, displaying the
typical orbits and directions.
dy
dt
=
By.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0567139a-9f93-4ba8-a710-9c19173fc9d7%2F365dea75-6398-4969-9146-e0f552ae555b%2Ff5ucogn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following initial value problem
= [14] x x(0) = [²],
dt
7
dx
x₁ (t)
where x =
x₂(t)
(a) Calculate the matrices B and G of the real canonical form
x = Gy,
(b) Sketch the phase portrait on the (y₁, y2) plane, displaying the
typical orbits and directions.
dy
dt
=
By.
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