Consider the following system of differential equations. dy dt dx dt L{x} = X - - 2y, S-11 2 S +9 = 5x - Y, Take the Laplace transform of the system and solve for L{x}. (Write your answer as a fu x(0) = 1, y(0) = 3 Use the Laplace transform to solve the given system of differential equations. x(t) = -cos (31) -sin (31) 3
Consider the following system of differential equations. dy dt dx dt L{x} = X - - 2y, S-11 2 S +9 = 5x - Y, Take the Laplace transform of the system and solve for L{x}. (Write your answer as a fu x(0) = 1, y(0) = 3 Use the Laplace transform to solve the given system of differential equations. x(t) = -cos (31) -sin (31) 3
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 8CR
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Question
![Consider the following system of differential equations.
dy
dt
Take the Laplace transform of the system and solve for L{x}. (Write your answer as a function of s.)
L{x} =
y(t)
=
=
dx
dt
= X 2y,
s - 11
²+9
= 5x - y, x(0) :
Use the Laplace transform to solve the given system of differential equations.
x(t) = −cos (3t) — sin ( 3t)
= -1, y(0) = 3
8
3 cos ( 3t) - sin ( 3t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96023f4d-6281-4c81-803e-adfe3e4197d6%2F482588ae-c725-4bf1-840b-ff50c2108773%2Fyajmhqi_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following system of differential equations.
dy
dt
Take the Laplace transform of the system and solve for L{x}. (Write your answer as a function of s.)
L{x} =
y(t)
=
=
dx
dt
= X 2y,
s - 11
²+9
= 5x - y, x(0) :
Use the Laplace transform to solve the given system of differential equations.
x(t) = −cos (3t) — sin ( 3t)
= -1, y(0) = 3
8
3 cos ( 3t) - sin ( 3t)
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