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At Determine e by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e A= 41 49 4 First, find X(t). Choose the correct answer below. OA. X(t)= OB. X(t)= OC. X(t)= OD. X(t)= -3t 11t 7e-3t 7e 11t -e 7e Next, find e At 7e-3t cos 111 e¹1 sin 11t cos 11t 7e 11t, e-3t-11t 7e ¹1t (1-1) e-3t (7+1) e-3t e111 111 7e sin 11t

At Determine e by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e A= 41 49 4 First, find X(t). Choose the correct answer below. OA. X(t)= OB. X(t)= OC. X(t)= OD. X(t)= -3t 11t 7e-3t 7e 11t -e 7e Next, find e At 7e-3t cos 111 e¹1 sin 11t cos 11t 7e 11t, e-3t-11t 7e ¹1t (1-1) e-3t (7+1) e-3t e111 111 7e sin 11t

Advanced Engineering Mathematics
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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Use the method of undetermined coefficients to find a general solution to the system x' (t) = Ax(t) + f(t), where A and f(t) are given. 2-4 4 A= -4 4 x(t) = 24,f(t) = 42 4 e 2t 8 e 2t -4 e 2t ***
Transcribed Image Text:Use the method of undetermined coefficients to find a general solution to the system x' (t) = Ax(t) + f(t), where A and f(t) are given. 2-4 4 A= -4 4 x(t) = 24,f(t) = 42 4 e 2t 8 e 2t -4 e 2t ***
Determine e At by first finding a fundamental matrix X(t) for x'=Ax and then using the formula e At= X(t)X(0)¯1. A = 41 49 4 First, find X(t). Choose the correct answer below. OA. X(t)= B. X(t)= C. X(t)= OD. X(t)= -e-3t 111 -3t 7e 11t 7e -e-3t cos 11t 7e Next, find e At At -3t <-3t e 7e-3t e 11t sin 11t cos 11t 7 e ¹¹t sin 11t -C 111 7e¹¹1 (1-1) e-3t 11t (7+1)e-3t 7e 11t
Transcribed Image Text:Determine e At by first finding a fundamental matrix X(t) for x'=Ax and then using the formula e At= X(t)X(0)¯1. A = 41 49 4 First, find X(t). Choose the correct answer below. OA. X(t)= B. X(t)= C. X(t)= OD. X(t)= -e-3t 111 -3t 7e 11t 7e -e-3t cos 11t 7e Next, find e At At -3t <-3t e 7e-3t e 11t sin 11t cos 11t 7 e ¹¹t sin 11t -C 111 7e¹¹1 (1-1) e-3t 11t (7+1)e-3t 7e 11t
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