2 Answer the questions given the differential equation, (Use the last slides, if you get stuck) ä – 3å + 2x = 0, x(0) = 1, ¿(0) = -1. (a' Using u = x and v = i write the equation in the form x = Ax

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(d)
Determine S and S-1 such that A = SAS-1.
(e)
Compute eAt
Transcribed Image Text:(d) Determine S and S-1 such that A = SAS-1. (e) Compute eAt
Answer the questions given the differential equation, (Use the last slides, if you get stuck)
ä – 3.i + 2x = 0, x(0) = 1, ¿(0) = –1.
(a
Using u = x and v = i write the equation in the form x = Ax
(b)
Determine the eigenvalues of A.
(c)
Determine the eigenvectors of A.
Transcribed Image Text:Answer the questions given the differential equation, (Use the last slides, if you get stuck) ä – 3.i + 2x = 0, x(0) = 1, ¿(0) = –1. (a Using u = x and v = i write the equation in the form x = Ax (b) Determine the eigenvalues of A. (c) Determine the eigenvectors of A.
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