Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues dı = 4 and X2 = 6, in that order. ao(t) is always the function e". Choose the correct equation for a1(t) О (а) dar 6a1 + et a1(0) = 1 dt (b) da1 4a1 + et a1(0) = 1 dt da1 (c) -4a1 + et a1(0) = 0 dt (d) da1 4аj + et a(0) — 0 dt (e) da1 6a1 + et a1(0) = 0 dt O (f) da1 -4a1 + et a1(0) = 1 dt
Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues dı = 4 and X2 = 6, in that order. ao(t) is always the function e". Choose the correct equation for a1(t) О (а) dar 6a1 + et a1(0) = 1 dt (b) da1 4a1 + et a1(0) = 1 dt da1 (c) -4a1 + et a1(0) = 0 dt (d) da1 4аj + et a(0) — 0 dt (e) da1 6a1 + et a1(0) = 0 dt O (f) da1 -4a1 + et a1(0) = 1 dt
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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Transcribed Image Text:Suppose that you were trying to use the Putzer method to exponentiate the matrix A which
has eigenvalues dı = 4 and A2 = 6, in that order.
ao(t) is always the function et. Choose the correct equation for a1(t)
da1
О (а)
6a1 + e4t
a1(0) = 1
dt
da1
: 4a1 + e4t
P (g)
da1
a1(0) = 1
(c) dt
-4a1 + ett a1(0) = 0
da1
(d) dt
4a1 + et a1(0) = 0
da1
(e)
: 6a1 + e4t
a1(0) = 0
dt
da1
(f)
dt
— 4а, + e# a,(0) — 1
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