Consider the following linear system of differential equations: x' : y' = =X- - Y = -X 4y Write this system in matrix vector form. Show that X(t) = [2e + cos(21)] sin(2t) B tem of differential equations. is a solution of this sys- C Write the solution above as scalar x(t) and y(t) solutions without matrices or vectors.
Consider the following linear system of differential equations: x' : y' = =X- - Y = -X 4y Write this system in matrix vector form. Show that X(t) = [2e + cos(21)] sin(2t) B tem of differential equations. is a solution of this sys- C Write the solution above as scalar x(t) and y(t) solutions without matrices or vectors.
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
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![Consider the following linear system of differential equations:
= -x - 4y
x'
y = x - y
A
B
Show that X(t) =
=
tem of differential equations.
Write this system in matrix vector form.
[2e-t cos(2t)]
e-t sin(2t)
is a solution of this sys-
CWrite the solution above as scalar x(t) and y(t) solutions
without matrices or vectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ba71b9f-6645-4b82-be5d-cda1c9d5ec57%2F35c97941-4f1d-4abb-be65-787ef9913d25%2F2l7puu7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following linear system of differential equations:
= -x - 4y
x'
y = x - y
A
B
Show that X(t) =
=
tem of differential equations.
Write this system in matrix vector form.
[2e-t cos(2t)]
e-t sin(2t)
is a solution of this sys-
CWrite the solution above as scalar x(t) and y(t) solutions
without matrices or vectors.
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