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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.5: Nonlinear Systems Of Differential Equations
Problem 12E
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 For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,