The system of differential equations : has the solution Y C₁ et V₁+ C₂ e¹₂ V₂ + C3 e¹³ V3 where (in increasing order A₁ < A₂ < A3 ) : X₁ 12 X3 - and V₁ = and V₂ = and V 3 II Y' = [12 6 4 0 -8 -6 -11 15 4 Y
The system of differential equations : has the solution Y C₁ et V₁+ C₂ e¹₂ V₂ + C3 e¹³ V3 where (in increasing order A₁ < A₂ < A3 ) : X₁ 12 X3 - and V₁ = and V₂ = and V 3 II Y' = [12 6 4 0 -8 -6 -11 15 4 Y
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Transcribed Image Text:The system of differential equations :
has the solution Y =
where (in increasing order λ₁ < λ2 < A3 ) :
X₁
12
=
=
and
and
C₁ et V₁+ C₂ e¹²t V2 + C3 e¹³² V3
and
V₁ =
V₂ =
V 3 =
Y' =
12
6
4
0
-8 -6
15
4
-11
Y
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Define the problem
VIEWStep 2: Calculate the characteristic equation
VIEWStep 3: Calculate the eigen values
VIEWStep 4: Calculate the eigen vector for eigen value -3
VIEWStep 5: Calculate the eigen vector for eigen value 0
VIEWStep 6: Calculate the eigen vector for eigen value 4
VIEWSolution
VIEW
Step by step
Solved in 7 steps with 21 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning