- 2y + 2(t-1) − y + (t – 1)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Use the Laplace transform to solve the given system of differential equations.
dx
= 4x - 2y + 2(t-1)
dt
dy
= 3x - y + U(t - 1)
dt
x(0) = 0, y(0)
8
) 2(t-[
1)2(²-[
t-
x(t) =
y(t)
=
1)+([
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations. dx = 4x - 2y + 2(t-1) dt dy = 3x - y + U(t - 1) dt x(0) = 0, y(0) 8 ) 2(t-[ 1)2(²-[ t- x(t) = y(t) = 1)+([
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