The Laplace transformation of the solutions of the following system of differential equa- tion ) = 0,y'(0) = 0, and z(0) = 1 y" +z+y = 0 z' +y 0 is:

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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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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The Laplace transformation of the solutions of the following system of differential equa-
tion
y" +z+y = 0
z' + y = 0
= 0, y'(0) = 0, and z(0) = 1
1s:
Z(s) = +(-)-G).
O as above
O None of these
Transcribed Image Text:The Laplace transformation of the solutions of the following system of differential equa- tion y" +z+y = 0 z' + y = 0 = 0, y'(0) = 0, and z(0) = 1 1s: Z(s) = +(-)-G). O as above O None of these
O None of these
as above
Z(s)
Z(s) == +
s2
O as above
as above.
Z(s) = - (.) - ()
52+1,
as above:
Transcribed Image Text:O None of these as above Z(s) Z(s) == + s2 O as above as above. Z(s) = - (.) - () 52+1, as above:
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