Let S be the differential operator defined by: S(y) = (D² - 4D + 5)(D² - 1)y Use Laplace transforms to solve: S(y) = 4-5t y(0) = 4 y'(0) = 2 d where D = dt = y(4) - 4y(3) + 4y(2) + 4y' - 5y y"(0) = 10 y(³)(0) = 12 =

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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Let S be the differential operator defined by:
S(y) = (D² - 4D + 5)(D² - 1)y
Use Laplace transforms to solve:
S(y) = 4-5t
y(0) = 4
y'(0) = 2
d
where D =
dt
= y(4) - 4y(3) + 4y(2) + 4y' - 5y
y"(0) = 10
y(³)(0) = 12
=
Transcribed Image Text:Let S be the differential operator defined by: S(y) = (D² - 4D + 5)(D² - 1)y Use Laplace transforms to solve: S(y) = 4-5t y(0) = 4 y'(0) = 2 d where D = dt = y(4) - 4y(3) + 4y(2) + 4y' - 5y y"(0) = 10 y(³)(0) = 12 =
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