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A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *;-4x, - 4%, +2x,-e, x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.

A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *;-4x, - 4%, +2x,-e, x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.

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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A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t) = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *; -4x, -4x, +2x,- d', x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.
Transcribed Image Text:A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t) = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *; -4x, -4x, +2x,- d', x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.
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