A₁ = 5 + 2i with ₁ and A₂ = 5 - 2i with 7₂ Write the general real solution for the linear system 7' = A7, in the following forms: x(t) y(t) = A. In eigenvalue/eigenvector form: = [0]. + C₂ 1 -2i 1 B. In fundamental matrix form: 2 1 2 e^(5t)cos(2t) 2e^(5t)sin(2t) cos(2t) cos(2t) C. As two equations: (write "c1" and "c2" for C₁ and ₂) x(t) = c1e^(5t)cos(2t)+c2e^(5t)sin(2t) y(t) = c1*2e^(5t)sin(2t)-c2*2e^(5t)cos(2t) + 0 2 e^(5t)sin(2t) -2e^(5t)cos(21) 2 sin(2t) sin(2t) [a] e 5 e 5 t
A₁ = 5 + 2i with ₁ and A₂ = 5 - 2i with 7₂ Write the general real solution for the linear system 7' = A7, in the following forms: x(t) y(t) = A. In eigenvalue/eigenvector form: = [0]. + C₂ 1 -2i 1 B. In fundamental matrix form: 2 1 2 e^(5t)cos(2t) 2e^(5t)sin(2t) cos(2t) cos(2t) C. As two equations: (write "c1" and "c2" for C₁ and ₂) x(t) = c1e^(5t)cos(2t)+c2e^(5t)sin(2t) y(t) = c1*2e^(5t)sin(2t)-c2*2e^(5t)cos(2t) + 0 2 e^(5t)sin(2t) -2e^(5t)cos(21) 2 sin(2t) sin(2t) [a] e 5 e 5 t
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.CR: Chapter 11 Review
Problem 12CR
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 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,
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,