Use the Laplace transform to solve the given system of differential equations. dx dt dy dt = 4x - 2y + 2(t-1) = 3x - y + U(t-1) x(0) = 0, y(0) = 1 - 6 x(t) = y(t) = ( ) + (| ) u (t- )u(t-
Use the Laplace transform to solve the given system of differential equations. dx dt dy dt = 4x - 2y + 2(t-1) = 3x - y + U(t-1) x(0) = 0, y(0) = 1 - 6 x(t) = y(t) = ( ) + (| ) u (t- )u(t-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use the Laplace transform to solve the given system of differential equations.
x(0) = 0,
dx
dt
dy
dt
y(0)
= 4x - 2y + 2(t-1)
= 3x - y + U(t-1)
=
1
6
x(t)
y(t) = (
=
])+([
) + (1
)u(t-
)u(t-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F220c0d4d-745f-448d-97ae-ea8760e2405d%2Fd07e476d-6a8b-40f7-b8af-e6c2d561fc57%2F3r6bv2h.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations.
x(0) = 0,
dx
dt
dy
dt
y(0)
= 4x - 2y + 2(t-1)
= 3x - y + U(t-1)
=
1
6
x(t)
y(t) = (
=
])+([
) + (1
)u(t-
)u(t-
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